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Characteristica universalis

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signs will be a kind of alphabet. It will be convenient for the signs to be as natural as possible—e.g., for one, a point; for numbers, points; for the relations of one entity with another, lines; for the variation of angles and of extremities in lines, kinds of relations. If these are correctly and ingeniously established, this universal writing will be as easy as it is common, and will be capable of being read without any dictionary; at the same time, a fundamental knowledge of all things will be obtained. The whole of such a writing will be made of geometrical figures, as it were, and of a kind of pictures — just as the ancient Egyptians did, and the Chinese do today. Their pictures, however, are not reduced to a fixed alphabet... with the result that a tremendous strain on the memory is necessary, which is the contrary of what we propose.
1197:(Cevolatti and Maud, 2004). The Energy Systems Language combines lines and points with "a kind of pictures" manipulated by means of digital computers and software packages like EXTEND (Odum, Odum, and Peterson 1995), and Valyi's Emergy Simulator. It was designed to provide a general systems language affording quantitative accounting and mathematical simulation of qualitative energy relationships between ecological entities: "that science in which are treated the forms or formulas of things in general, that is, quality in general". A general algebra known as the 34: 238:...practical uses rather than scientific utility, that is, for being chiefly artificial languages intended for international communication and not philosophical languages that would express the logical relations of concepts. He favors, and opposes to them, the true "real characteristic", which would express the composition of concepts by the combination of signs representing their simple elements, such that the correspondence between composite ideas and their symbols would be natural and no longer conventional. 562:
had application and good will could, if not accompany the greatest minds, then at least follow them. For one could always say: let us calculate, and judge correctly through this, as much as the data and reason can provide us with the means for it. But I do not know if I will ever be in a position to carry out such a project, which requires more than one hand; and it even seems that mankind is still not mature enough to lay claim to the advantages which this method could provide.
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his, yet no one has attempted a language or characteristic which includes at once both the arts of discovery and judgement, that is, one whose signs and characters serve the same purpose that arithmetical signs serve for numbers, and algebraic signs for quantities taken abstractly. Yet it does seem that since God has bestowed these two sciences on mankind, he has sought to notify us that a far greater secret lies hidden in our understanding, of which these are but the shadows.
2101: 686: 837:, and convinced himself that some sort of systematic and conspiratorial censoring had taken place, a belief that became obsessional. Gödel may have failed to appreciate the magnitude of the task facing the editors of Leibniz's manuscripts, given that Leibniz left about 15,000 letters and 40,000 pages of other manuscripts. Even now, most of this huge 269:. According to Couturat, "In May 1676, he once again identified the universal language with the characteristic and dreamed of a language that would also be a calculus—a sort of algebra of thought" (1901, chp 3.). This characteristic was a universalisation of the various "real characteristics". Couturat wrote that Leibniz gave Egyptian and Chinese 532:
bar labeled "possible combination"; the diagonals joining them are labeled "impossible combination". Starting from the top, fire is formed from the combination of dryness and heat; air from wetness and heat; water from coldness and wetness; earth from coldness and dryness. This diagram is reproduced in several texts including
1299:. Its membership consists of the national standards bodies of 164 of the UN Member States. Based on the work of its over 250 technical committees, the ISO has issued over 20,000 standards for scientific terminology, names and abbreviations, weights and measures, and safety-related and other pictographs. 552:
would be difficult, fixing the time required for devising it as follows: "I think that some selected men could finish the matter in five years" (Loemker 1969: 224), later remarking: "And so I repeat, what I have often said, that a man who is neither a prophet nor a prince can ever undertake any thing
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and others about my general algebra, but they have paid no more attention to it than if I had told them about a dream of mine. I should have to support it too by some obvious application, but to achieve this it would be necessary to work out at least a part of my characteristic, a task which is not
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in which all truths of reason would be reduced to a kind of calculus. At the same time, this would be a kind of universal language or writing, though infinitely different from all such languages which have thus far been proposed; for the characters and the words themselves would direct the mind, and
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And although learned men have long since thought of some kind of language or universal characteristic by which all concepts and things can be put into beautiful order, and with whose help different nations might communicate their thoughts and each read in his own language what another has written in
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Logistic may be defined as the science which deals with types of order as such. It is not so much a subject as a method. Although most logistic is either founded upon or makes large use of the principles of symbolic logic, still a science of order in general does not necessarily presuppose or begin
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We have spoken of the art of complication of the sciences, i.e., of inventive logic... But when the tables of categories of our art of complication have been formed, something greater will emerge. For let the first terms, of the combination of which all others consist, be designated by signs; these
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Palko, Gy Bulcsu (1986) considered structured analysis for analyzing and designing hierarchic systems by using an iconic language, and suggested that such was an application of the universal characteristics Leibniz's project to the language of structured analysis and the formalization of an iconic
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It is true that in the past I planned a new way of calculating suitable for matters which have nothing in common with mathematics, and if this kind of logic were put into practice, every reasoning, even probabilistic ones, would be like that of the mathematician: if need be, the lesser minds which
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These four elements make up the four corners of a diamond (see picture). Opposing pairs of these are joined by a bar labeled "contraries" (earth-air, fire-water). At the four corners of the superimposed square are the four qualities defining the elements. Each adjacent pair of these is joined by a
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the Leibniz project is not a matter of logic but rather one of knowledge representation, a field largely unexploited in today's logic-oriented epistemology and philosophy of science. It is precisely this one-sided orientation of these disciplines, which is responsible for the distorted picture of
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Elsewhere Leibniz even includes among the types of signs musical notes and astronomical signs (the signs of the zodiac and those of the planets, including the sun and the moon). It should be noted that Leibniz sometimes employs planetary signs in place of letters in his algebraic
441:) by use of which any item of information whatever can be recorded in a natural and systematic way, and (2) a means of manipulating the knowledge thus recorded in a computational fashion, so as to reveal its logical interrelations and consequences (the 319:
by relating it to the "elementary theory of the ordering of the reals," defining it as "a precisely definable system for making statements of science" (Rogers 1963: 934). Universal language projects like Esperanto, and formal logic projects like
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This shows that the real characteristic was for him an ideography, that is, a system of signs that directly represent things (or, rather, ideas) and not words, in such a way that each nation could read them and translate them into its own
486:. He hoped his pictorial algebra would advance the scientific treatment of qualitative phenomena, thereby constituting "that science in which are treated the forms or formulas of things in general, that is, quality in general" ( 330:
are not commonly concerned with the epistemic synthesis of empirical science, mathematics, pictographs and metaphysics in the way Leibniz described. Hence scholars have had difficulty in showing how projects such as the
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the errors — excepting those of fact — would only be calculation mistakes. It would be very difficult to form or invent this language or characteristic, but very easy to learn it without any dictionaries.
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Symbolism for the exact and systematic expression of all present knowledge, making possible a "logistic" treatment of science in general. This symbolism could also be expanded to accommodate future knowledge;
514:(see picture), the diagrams in Leibniz's work warrant close study. On at least two occasions, Leibniz illustrated his philosophical reasoning with diagrams. One diagram, the frontispiece to his 1666 1357:
was launched in 2020. It aims to "promote interdisciplinary research about philosophies developed between the 17th and 19th centuries, emphasising classical German philosophy (from Kant to Hegel)."
524: 200:. The global expansion of European commerce in Leibniz's time provided mercantilist motivations for a universal language of trade so that traders could communicate with any natural language. 1069:(1928, English translation 1967) and of its successor, Goodman (1977), are Leibnizian in their sweep and ambition, although Leibniz would have taken strenuous exception to Carnap's resolute 1350: 1272:
or Blissymbolics, presently used as an 'alternative and augmentative language' for disabled people but originally intended as an International 'Auxlang', is said to be in the mold of the
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is a constructed language created by John Quijada, designed to express deeper levels of human cognition briefly yet overtly and clearly, particularly with regard to human categorization.
1244:, a pasigraphy designed to allow the "calculation of truth" through manipulation of given facts following basic principles much like those used in mathematics, was inspired by Leibniz's 753:, and a lack of specifics in both English language translations and modern English language interpretations of Leibniz's writings render a clear exposition difficult. As with Leibniz's 1209:, suggested as the fourth law of thermodynamics. If this ancestral claim is granted, then simulation software like EXTEND and Valyi's Emergy Simulator can be seen as combining the 1306:(UML) is a general-purpose, developmental modeling language in the field of software engineering that is intended to provide a standard way to visualize the design of a system. 499: 865: 384:
Hauptschriften zur Grundlegung der Philosophie. Philosophische Werke Band 1. page 30-31. Translated by Artur Buchenau. Reviewed and with introduction and notes published by
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Bennett, John G.; Bortoft, Henri; and Pledge, Kenneth: "Towards an Objectively Complete Language: An Essay in Objective Description as Applied to Scientific Procedure,"
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of greater good to mankind of more fitting for divine glory" (Loemker 1969: 225). But later in life, a more sober note emerged. In a March 1706 letter to the Electress
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two different schools of philosophical thought have come to emphasise two different aspects that can be found in Leibniz's writing. The first point of view emphasizes
520:(On the Art of Combinations), represents the Aristotelian theory of how all material things are formed from combinations of the elements earth, water, air, and fire. 455:
Near the end of his life, Leibniz wrote that combining metaphysics with mathematics and science through a universal character would require creating what he called:
623:. In setting out these criteria, Cohen made reference to the concept of "logistic". This concept is not the same as that used in statistical analysis. In 1918, 599:, Leibniz arrived at what he felt was a discovery of a link that would thereby create his characteristica universalis. It eventually created the foundations of 1241: 619:
C. J. Cohen (1954) set out three criteria which any project for a philosophical language would need to meet before it could be considered a version of the
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International Language and Science: Considerations on the Introduction of an International Language into Science", Constable and Company Limited, London.
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was feasible, and that its development would revolutionize mathematical practice (Dawson 1997). He noticed, however, that a detailed treatment of the
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The following attempts to recast parts of theoretical science as axiomatic first-order theories can be viewed as attempts to develop parts of the
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easy, especially in my present condition and without the advantage of discussions with men who could stimulate and help me in work of this nature.
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Radnitzky, Gerard, 1981. "Analytic philosophy as the confrontation between Wittgensteinians and Popper" in Agassi, J. & Cohen, R. S. (eds.),
1282:, while still in their relative infancy, could be considered to be an early stage in the organic development of a universal logographic language. 1292: 885:), and an "algebra of thought", allowing rule-based manipulation. The philosophers and linguists who undertook such projects often belonged to 811:. This was to be a calculus which would cover all thought, and replace controversy by calculation. The ideal now seems absurdly optimistic..." 207:, and these aspects appear to be a source of the aforementioned vagueness and inconsistency in modern interpretations. According to Jaenecke, 999:. Some people other than Fearnley-Sander working in the area of "universal algebra", the study of the mathematical and logical properties of 707: 1657:
Odum, E. C., Odum, H. T. and Peterson, N. S., 1995. "Using Simulation to Introduce the Systems Approach in Education" in Hall, C.S., ed.,
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had a metaphysical bias which prevented it from reflecting reality faithfully. Gode emphasized that Leibniz established certain goals or
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to form diagrams or pictures, depicting any system at any scale, and understood by all regardless of native language. Leibniz wrote:
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and the like, see the following texts in Loemker (1969): 165–66, 192–95, 221–28, 248–50, and 654–66.
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Unified symbolism for world understanding in science: Including Bliss symbols (semantography) and logic, cybernetics and semantics
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need not be numbers. Moreover, a fair bit of philosophy and theoretical science can be formalized as axiomatic theories embodying
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The objectives of the 'Symbolator' or 'idea-computer' (Goppold 1994) resemble in some respects a less ambitious version of the
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was conspicuously absent from Leibniz's publications. It appears that Gödel assembled all of Leibniz's texts mentioning the
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Leibniz's views about the systematic character of all knowledge are linked with his plans for a universal symbolism, a
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on the border of physics and metaphysics seems grounded in metaphysical presuppositions similar to those of Leibniz's
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concepts. Leibniz thus hoped to create a language usable within the framework of a universal logical calculation or
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The universal "representation" of knowledge would therefore combine lines and points with "a kind of pictures" (
1980: 1592: 711: 1448:, see Rutherford (1995) and the still-classic discussion in Couturat (1901: chpts. 3,4). Also relevant to the 637:
Lewis 1960: 3, 7–9 (Lewis here echoed the thinking of his teacher Josiah Royce; see "Order" in the 1951
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Leibniz talked about his dream of a universal scientific language at the very dawn of his career, as follows:
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The Promise of Scientific Humanism Toward a Unification of Scientific, Religious, Social and Economic Thought
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is a recurring concept in the writings of Leibniz. When writing in French, he sometimes employed the phrase
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Piper, R. F. 1957. "Review of 'Unified Symbolism for World Understanding in Science' by Oliver L. Reiser,"
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Systematics: The Journal of the Institute for the Comparative Study of History, Philosophy and the Sciences
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in operational detail, many philosophers have deemed it an absurd fantasy. In this vein, Parkinson wrote:
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Lingua Universalis vs. Calculus Ratiocinator. An ultimate presupposition of Twentieth-century philosophy
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Bulcsu P. G., 1986. "Formalization of the Iconic Language for Structured Analysis and Symbolic Logic,"
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could be used to reason about qualitative and non-numerical phenomena. Specifically, the members of the
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Cevolatti, D., and Maud, S., 2004. "Realising the Enlightenment: H. T. Odum's Energy Systems Language
1864: 1303: 874: 775:. The second point of view is more in tune with Couturat's views as expressed above, which emphasize 254: 664:
These criteria together with the notion of logistic reveal that Cohen and Lewis both associated the
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Others, such as Jaenecke, for example, have observed that Leibniz also had other intentions for the
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Brown, M. T., 2004. "A picture is worth a thousand words: energy systems language and simulation,"
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have emerged over the past 150 years which may be seen as supporting some of Leibniz's intuitions.
696: 42: 20: 2019: 1970: 1916: 1882: 1206: 1180: 700: 405:"interested Leibniz in connection with his own attempts to invent a universal language" (1940). 1975: 1921: 1694:
A philosophy for world unification: Scientific humanism as an ideology for cultural integration
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Wiener, Philip P., 1940. "Leibniz's Project of a Public Exhibition of Scientific Inventions,"
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Leibniz, letter to Nicolas Remond, 10 January 1714, in Loemker 1969: 654. Translation revised.
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Fearnley-Sander, Desmond, 1982. "Hermann Grassmann and the Prehistory of Universal Algebra,"
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has been employed to formalize and reason about such emphatically nonnumerical subjects as
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Following from this Cohen stipulated that the universal character would have to serve as:
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of ecological relations. In particular it afforded the discovery and demonstration of the
1173: 8: 1805: 1764: 949: 768: 604: 1812: 1055: 995:). Fearnley-Sander suggested that this combination had "come to pass" with the rise of 402: 175: 109: 523: 2007: 1936: 1354: 1325: 1219:, if and only if the digital computer is interpreted as a physical embodiment of the 1093: 1044: 996: 973: 953: 890: 873:
as a first step towards a universal language. He intended to add to his thesaurus an
853:, attempted similar philosophical and linguistic projects, some under the heading of 554: 540:, Reihe VI, Band 1: 166, Loemker 1969: 83, 366, Karl Popp and Erwin Stein 2000: 33). 167: 113: 1426: 654:" enabling individuals speaking different languages to communicate with one another; 1957: 1946: 1800:. Includes bibliography, links to online papers, and passages from the writings of 1744: 1713: 1265: 1184: 1133: 937: 426: 1801: 1609: 1547: 1337: 1259: 1193: 1081: 1020: 850: 787:. Either or both of these aspects Leibniz hoped would guide human reasoning like 326: 227: 196: 1797: 141:
and with his plans for an encyclopaedia as a compendium of all human knowledge.
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emerged from the repeated use of this language in modelling and simulating the
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as a combination of the algebra of logic (which Fearnley-Sander defined as the
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Kluge, E. H. W., 1980. "Frege, Leibniz and the notion of an ideal language,"
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generally, do not believe that universal algebra has anything to do with the
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The characteristic has also been claimed as an ancestor of the pictographic
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Many Leibniz scholars writing in English seem to agree that he intended his
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in the late 19th century as a standardized representation of the sounds of
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as translated in Loemker 1969: 221–25. This passage is from p. 222.)
2002: 1465:. 3rd enlarged edition. Sydney: Semantography-Blissymbolics Publications. 1402: 1269: 1227: 1074: 780: 772: 475: 397:
P. P. Weiner raised an example of a large scale application of Leibniz's
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to the same effect. The concept is sometimes paired with his notion of a
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Rutherford, Donald, 1995, "Philosophy and language" in Jolley, N., ed.,
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Jaenecke, P., 1996. "Elementary principles for representing knowledge,"
1375: 166:. This was to be based on a rationalised version of the 'principles' of 2076: 1321: 969: 957: 886: 784: 511: 159: 1518:
Cohen, C. Jonathan, 1954. "On the project of a universal character,"
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and thereby suggest solutions to many of humanity's urgent problems.
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Raymond F. Piper (1957; 432–433) claimed that O.L. Reiser's
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is Mates's (1986: 183–88) discussion of what he called the
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Fearnley-Sander (1986) went one step further, defining Leibniz's
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The Logical Structure of the World: Pseudoproblems in Philosophy
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Interlingua-English: A Dictionary of the International language
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Engines of Logic: Mathematicians and the Origin of the Computer
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An Essay towards a Real Character and a Philosophical Language
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Leibniz and the Two Sophies: The Philosophical Correspondence
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Leibniz: Language, Signs and Thought, A Collection of Essays
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in the 19th century proved correct Leibniz's intuition that
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and Esperanto embody the full vision Leibniz had for his
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and modern philosophy, specifically the predicate-based
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digits again from Chinese works, which was now from the
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Maximum Power: The Ideas and Applications of H. T. Odum
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to climatic science. A weather-forecaster invented by
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Language as Calculus vs. Language as Universal Medium
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In another 1714 letter to Nicholas Remond, he wrote:
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Donald Rutherford's English translation in progress.
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Unified Symbolism for World Understanding in Science
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wrote, Leibniz criticized the linguistic systems of
1767:, 1967. "Logic as calculus and logic as language," 1313:, Vol. 3, No. 3, (December 1965), pp. 185–229. 248: 1575:Logical Dilemmas: The Life and Work of Kurt Gödel 1051:has yet to be explored in the English literature. 976:. But these approaches have yet to result in any 421:, 1666, translated in Parkinson 1966: 10–11 2115: 1689:(pp. 239–286). Dordrecht: Springer Verlag. 1487:Introduction to Symbolic Logic with Applications 844: 544:Leibniz retraces his steps and makes a discovery 366:In the domain of science, Leibniz aimed for his 675: 1771:: 324–330. Reprinted in Hintikka (1997). 1293:International Organization for Standardization 1262:, and intended for use in human communication. 991:) and the algebra of geometry (defined as the 429:, reviewing Cohen's 1954 article, wrote that: 149: 116:able to express mathematical, scientific, and 1863: 1849: 1258:) are both artificial languages derived from 1117:system, and "international picture language". 660:An instrument of discovery and demonstration. 493: 1730:, 1963. "An Example in Mathematical Logic," 1680:Philosophy and Phenomenological Research 17 1664:Parkinson, G. H. R., ed. and trans., 1966. 794: 714:. Unsourced material may be challenged and 1856: 1842: 1297:United Nations Economic and Social Council 433:Leibniz's program of a universal science ( 315:emphasised the metaphysical aspect of the 1645:Leibniz: Philosophical Papers and Letters 734:Learn how and when to remove this message 158:or "universal character" to be a form of 78:Learn how and when to remove this message 1671:—, and Mary Morris, trans., 1973. 877:(an organisational scheme, similar to a 522: 497: 41:This article includes a list of general 1718:On the Project of a Universal Character 1170:International auxiliary language policy 900: 825:, on the other hand, believed that the 502:Basic elements of Leibniz's pictograms. 212:Leibniz's work found in the literature. 2116: 1643:Loemker, Leroy, ed. and trans., 1969. 1437:On Leibniz's lifelong interest in the 557:, the spouse of his patron, he wrote: 548:Leibniz rightly saw that creating the 234:for this reason since they focused on 1837: 1661:. Colorado Univ. Press: 346–52. 1427:"Characteristica Universalis Journal" 893:" and now seen as forerunners of the 16:Leibnizian universal language concept 1732:The American Mathematical Monthly 70 1582:The American Mathematical Monthly 89 1376:"Isotype and FUTURE books - Neurath" 849:Others in the 17th century, such as 799:Because Leibniz never described the 712:adding citations to reliable sources 679: 482:) to be manipulated by means of his 27: 1351:Characteristica Universalis Journal 668:with the methods and objectives of 639:Collected Logical Writings of Royce 488:On Universal Synthesis and Analysis 13: 1739:The Cambridge Companion to Leibniz 1334:International Phonetic Association 1100:et al., bears comparison with the 921:(1946), was inspired by Leibniz's 919:A Philosophy for World Unification 273:and chemical signs as examples of 253:Leibniz said that his goal was an 47:it lacks sufficient corresponding 14: 2150: 2057:New Essays on Human Understanding 1998:Transcendental law of homogeneity 1790: 1776:Journal of the History of Ideas 1 1353:focusing on Modern and Classical 614: 527:Leibniz's diagrammatic reasoning. 190:, and formal logic projects like 2100: 2099: 1024:was consciously inspired by the 684: 652:international auxiliary language 112:and formal language imagined by 32: 1817:Grazer Philosophische Studien 6 1783:The axiomatic method in biology 1696:, Haldeman-Julius Publications. 1673:Leibniz: Philosophical Writings 1560:. 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Peters. 1361: 845:Related 17th century projects 390:On the General Characteristic 174:associated with contemporary 1828:Language, Truth and Ontology 1722:Journal of Symbolic Logic 19 1498:Der Logische Aufbau der Welt 1463:Semantography: Blissymbolics 1164:Connections with the Jewish 1061:The first-order theories of 917:(1955), an expansion of his 676:A common scientific language 510:is diagrammatic and employs 358:to fulfill those functions. 7: 1906:Characteristica universalis 1888:Best of all possible worlds 1824:Characteristica Universalis 1813:An Essay in Formal Ontology 1687:Scientific Philosophy Today 1604:The Structure of Appearance 1546:, O. Jespersen, R. 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W., 1997. 993:characteristica geometrica 494:His diagrammatic reasoning 361: 100:, commonly interpreted as 18: 2124:Gottfried Wilhelm Leibniz 2097: 2028: 1871: 1865:Gottfried Wilhelm Leibniz 1652:The Philosophy of Leibniz 1621:Knowledge Organization 23 1461:Bliss, Charles K., 1978. 1304:Unified Modeling Language 1014:Kluge (1980) argued that 875:alphabet of human thought 767:, and is associated with 419:On The Art of Combination 255:alphabet of human thought 2047:Discourse on Metaphysics 1741:. Cambridge Univ. Press. 1710:, Semantography Pub. Co. 1550:and L. Pfaundler, 1910. 1513:Ecological Modelling 178 1470:Ecological Modelling 178 1332:. It was devised by the 859:. A notable example was 795:Gödel alleges conspiracy 346:suggested that Leibniz' 102:universal characteristic 21:Three marks of existence 2020:Well-founded phenomenon 1971:Pre-established harmony 1883:Alternating series test 1666:Leibniz: Logical Papers 1536:. Paris: Felix Alcan. ( 1328:based primarily on the 1254:(and its older version 1207:maximum power principle 1181:Energy Systems Language 302:Couturat, 1901, chpt. 3 287:Couturat, 1901, chpt. 3 243:Couturat, 1901, chpt. 3 144: 62:more precise citations. 2139:Classification systems 1796:Corazzon, Raul, 2010, 1526:: 249, pp. 49–63. 1477:Meres es Automatika 34 1234:(Radnitzky 1981: 246). 1082:unification of science 1033:Charles Sanders Peirce 819: 670:general systems theory 644: 589: 570: 528: 503: 472: 453: 424: 395: 305: 290: 246: 220: 1899:Calculus ratiocinator 1826:in K. Mulligan, ed., 1759:Introduction to Logic 1668:. Oxford Univ. Press. 1654:. Oxford Univ. Press. 1650:Mates, Benson, 1986. 1628:Studia Leibnitiana 12 1534:La Logique de Leibniz 1221:calculus ratiocinator 1216:calculus ratiocinator 989:calculus ratiocinator 907:constructed languages 841:remains unpublished. 805: 756:calculus ratiocinator 629: 625:Clarence Irving Lewis 576:I have spoken to the 574: 559: 526: 501: 484:calculus ratiocinator 457: 443:calculus ratiocinator 431: 410: 372: 294: 279: 236: 209: 139:calculus ratiocinator 123:calculus ratiocinator 2134:Intellectual history 2129:Engineered languages 2037:De Arte Combinatoria 1965:Mathesis universalis 1893:Calculus controversy 1811:Smith, Barry, 1978, 1765:van Heijenoort, Jean 1751:. Toronto: Iter Inc. 1728:Rogers, Jr., Hartley 1720:by Jonathan Cohen," 1242:Transcendent Algebra 1203:energetic principles 1176:have also been made. 1001:algebraic structures 901:More recent projects 883:Dewey decimal system 856:mathesis universalis 708:improve this section 632:with symbolic logic. 578:Marquis de l'HĂ´pital 567:Strickland 2011: 355 517:De Arte Combinatoria 435:scientia universalis 275:real characteristics 164:ideographic language 1806:Jean Van Heijenoort 1716:, 1954. "Review of 1675:. London: J M Dent. 1507:G. W. v. Leibniz's 1454:lingua philosophica 1054:Several aspects of 769:analytic philosophy 605:Analytic Philosophy 184:auxiliary languages 106:universal character 1952:Leibniz's notation 1556:Dascal, M., 1987. 1398:"Emergy Simulator" 1130:Special relativity 1056:logical positivism 1045:existential graphs 905:A wide variety of 816:Parkinson 1973: ix 529: 504: 403:Athanasius Kircher 176:universal language 168:Chinese characters 135:spĂ©cieuse gĂ©nĂ©rale 2111: 2110: 2089:(1715–1716) 2008:Universal science 1981:Sufficient reason 1937:Law of continuity 1745:Strickland, Lloyd 1714:Rescher, Nicholas 1355:German Philosophy 1326:phonetic notation 1094:Charles W. Morris 997:universal algebra 974:natural languages 954:first-order logic 938:algebraic methods 891:Invisible College 744: 743: 736: 586:Loemker 1969: 656 555:Sophia of Hanover 114:Gottfried Leibniz 108:in English, is a 88: 87: 80: 2146: 2103: 2102: 2090: 2082: 2072: 2062: 2052: 2042: 1958:Lingua generalis 1858: 1851: 1844: 1835: 1834: 1778:: 232–240. 1610:Hintikka, Jaakko 1431: 1430: 1423: 1417: 1416: 1414: 1412: 1394: 1388: 1387: 1385: 1383: 1372: 1266:Charles K. Bliss 1185:Emergy Synthesis 1134:Hans Reichenbach 1058:, specifically: 960:. Note also how 930:Boolean algebras 863:, the author of 817: 789:Ariadne's thread 739: 732: 728: 725: 719: 688: 680: 642: 587: 568: 470: 451: 427:Nicholas Rescher 422: 393: 342:The writings of 303: 288: 244: 218: 83: 76: 72: 69: 63: 58:this article by 49:inline citations 36: 35: 28: 2154: 2153: 2149: 2148: 2147: 2145: 2144: 2143: 2114: 2113: 2112: 2107: 2093: 2088: 2080: 2070: 2060: 2050: 2040: 2024: 1876: 1874: 1873:Mathematics and 1867: 1862: 1822:—, 1990, 1802:Jaakko Hintikka 1793: 1788: 1757:, 1999 (1957). 1755:Suppes, Patrick 1734:: 929–45. 1699:—, 1940. 1682:: 432–33. 1636:, 1960 (1918). 1630:: 140–54. 1623:: 88–102. 1602:, 1977 (1951). 1600:Goodman, Nelson 1588:Gode, Alexander 1584:: 161–66. 1548:Wilhelm Ostwald 1544:Couturat, Louis 1530:Couturat, Louis 1515:: 279–92. 1492:—, 1967. 1483:Carnap, Rudolph 1479:: 315–22. 1472:: 83–100. 1450:characteristica 1446:characteristica 1439:characteristica 1435: 1434: 1425: 1424: 1420: 1410: 1408: 1407:. 16 April 2013 1396: 1395: 1391: 1381: 1379: 1374: 1373: 1369: 1364: 1347: 1338:spoken language 1274:characteristica 1260:predicate logic 1246:characteristica 1232:characteristica 1211:characteristica 1194:Systems Ecology 1183:and associated 1124:characteristica 1102:characteristica 1096:, and later by 1041:characteristica 1035:, a founder of 1021:Begriffsschrift 1011:control system. 1005:characteristica 985:characteristica 946:Boolean algebra 903: 851:George Dalgarno 847: 835:characteristica 831:characteristica 818: 815: 797: 740: 729: 723: 720: 705: 689: 678: 666:characteristica 643: 636: 617: 588: 585: 569: 566: 550:characteristica 546: 496: 471: 468: 461:general algebra 452: 449: 423: 417: 399:characteristica 394: 379: 368:characteristica 364: 356:characteristica 348:characteristica 337:characteristica 333:Begriffsschrift 327:Begriffsschrift 310: 304: 301: 289: 286: 251: 245: 242: 228:George Dalgarno 219: 216: 197:Begriffsschrift 152: 147: 84: 73: 67: 64: 54:Please help to 53: 37: 33: 24: 17: 12: 11: 5: 2152: 2142: 2141: 2136: 2131: 2126: 2109: 2108: 2098: 2095: 2094: 2092: 2091: 2083: 2073: 2063: 2053: 2043: 2032: 2030: 2026: 2025: 2023: 2022: 2017: 2010: 2005: 2000: 1995: 1990: 1987:Salva veritate 1983: 1978: 1973: 1968: 1961: 1954: 1949: 1944: 1939: 1934: 1929: 1924: 1919: 1914: 1912:Compossibility 1909: 1902: 1895: 1890: 1885: 1879: 1877: 1872: 1869: 1868: 1861: 1860: 1853: 1846: 1838: 1832: 1831: 1820: 1819:: 39–62. 1809: 1792: 1791:External links 1789: 1787: 1786: 1779: 1772: 1762: 1752: 1742: 1735: 1725: 1711: 1706:– 1955. 1704: 1703:, Oskar Piest. 1697: 1690: 1683: 1676: 1669: 1662: 1655: 1648: 1641: 1631: 1624: 1617: 1607: 1597: 1585: 1578: 1571: 1561: 1554: 1541: 1527: 1516: 1501: 1490: 1480: 1473: 1466: 1458: 1433: 1432: 1418: 1389: 1366: 1365: 1363: 1360: 1359: 1358: 1346: 1343: 1342: 1341: 1314: 1307: 1300: 1289: 1283: 1277: 1263: 1249: 1238:Jacob Linzbach 1235: 1224: 1199:emergy algebra 1177: 1162: 1155: 1154: 1153: 1147: 1141: 1120: 1119: 1118: 1105: 1098:Edward Haskell 1078: 1052: 1029: 1012: 1008: 981: 926: 902: 899: 869:, who wrote a 846: 843: 813: 796: 793: 742: 741: 692: 690: 683: 677: 674: 662: 661: 658: 655: 634: 616: 615:Three criteria 613: 601:symbolic logic 583: 564: 545: 542: 495: 492: 466: 459:... a kind of 447: 415: 386:Ernst Cassirer 377: 363: 360: 344:Alexander Gode 313:Hartley Rogers 309: 306: 299: 284: 250: 247: 240: 224:Louis Couturat 214: 178:projects like 151: 148: 146: 143: 86: 85: 40: 38: 31: 15: 9: 6: 4: 3: 2: 2151: 2140: 2137: 2135: 2132: 2130: 2127: 2125: 2122: 2121: 2119: 2106: 2096: 2087: 2084: 2079: 2078: 2074: 2069: 2068: 2064: 2059: 2058: 2054: 2049: 2048: 2044: 2039: 2038: 2034: 2033: 2031: 2027: 2021: 2018: 2016: 2015: 2011: 2009: 2006: 2004: 2001: 1999: 1996: 1994: 1991: 1989: 1988: 1984: 1982: 1979: 1977: 1974: 1972: 1969: 1967: 1966: 1962: 1960: 1959: 1955: 1953: 1950: 1948: 1947:Leibniz's gap 1945: 1943: 1942:Leibniz wheel 1940: 1938: 1935: 1933: 1932:Individuation 1930: 1928: 1925: 1923: 1920: 1918: 1915: 1913: 1910: 1908: 1907: 1903: 1901: 1900: 1896: 1894: 1891: 1889: 1886: 1884: 1881: 1880: 1878: 1870: 1866: 1859: 1854: 1852: 1847: 1845: 1840: 1839: 1836: 1829: 1825: 1821: 1818: 1814: 1810: 1807: 1803: 1799: 1795: 1794: 1784: 1780: 1777: 1773: 1770: 1766: 1763: 1760: 1756: 1753: 1750: 1747:, ed., 2011. 1746: 1743: 1740: 1736: 1733: 1729: 1726: 1723: 1719: 1715: 1712: 1709: 1705: 1702: 1698: 1695: 1691: 1688: 1684: 1681: 1677: 1674: 1670: 1667: 1663: 1660: 1656: 1653: 1649: 1646: 1642: 1639: 1635: 1632: 1629: 1625: 1622: 1618: 1615: 1611: 1608: 1605: 1601: 1598: 1595: 1594: 1589: 1586: 1583: 1579: 1576: 1572: 1570:. W W Norton. 1569: 1565: 1564:Davis, Martin 1562: 1559: 1555: 1553: 1549: 1545: 1542: 1539: 1535: 1531: 1528: 1525: 1522:(New Series) 1521: 1517: 1514: 1510: 1506: 1502: 1499: 1495: 1491: 1488: 1484: 1481: 1478: 1474: 1471: 1467: 1464: 1460: 1459: 1457: 1455: 1451: 1447: 1442: 1440: 1428: 1422: 1406: 1404: 1399: 1393: 1377: 1371: 1367: 1356: 1352: 1349: 1348: 1339: 1335: 1331: 1327: 1323: 1319: 1315: 1312: 1308: 1305: 1301: 1298: 1294: 1290: 1287: 1284: 1281: 1278: 1276:(Bliss 1978). 1275: 1271: 1267: 1264: 1261: 1257: 1253: 1250: 1247: 1243: 1239: 1236: 1233: 1229: 1225: 1222: 1218: 1217: 1212: 1208: 1204: 1200: 1196: 1195: 1190: 1186: 1182: 1178: 1175: 1171: 1167: 1163: 1160: 1156: 1151: 1148: 1145: 1142: 1139: 1138:Rudolf Carnap 1135: 1131: 1128: 1127: 1125: 1121: 1116: 1113: 1109: 1106: 1103: 1099: 1095: 1091: 1090:Rudolf Carnap 1087: 1083: 1079: 1076: 1072: 1068: 1064: 1063:Rudolf Carnap 1060: 1059: 1057: 1053: 1050: 1046: 1042: 1038: 1034: 1030: 1027: 1023: 1022: 1017: 1013: 1009: 1006: 1002: 998: 994: 990: 986: 982: 979: 975: 971: 967: 963: 959: 955: 951: 947: 943: 942:universal set 939: 935: 931: 928:The study of 927: 924: 920: 916: 912: 911: 910: 908: 898: 896: 895:Royal Society 892: 888: 884: 880: 876: 872: 868: 867: 862: 858: 857: 852: 842: 840: 836: 832: 828: 824: 821:The logician 812: 810: 804: 802: 792: 790: 786: 782: 778: 774: 770: 766: 762: 758: 757: 752: 748: 747:Inconsistency 738: 735: 727: 717: 713: 709: 703: 702: 698: 693:This section 691: 687: 682: 681: 673: 671: 667: 659: 656: 653: 649: 648: 647: 640: 633: 628: 626: 622: 612: 610: 609:Boolean Logic 606: 602: 598: 594: 582: 579: 573: 563: 558: 556: 551: 541: 539: 535: 525: 521: 519: 518: 513: 509: 500: 491: 489: 485: 481: 477: 465: 462: 456: 446: 444: 440: 436: 430: 428: 420: 414: 409: 406: 404: 400: 391: 387: 383: 376: 371: 369: 359: 357: 353: 349: 345: 340: 338: 334: 329: 328: 323: 318: 314: 298: 293: 283: 278: 276: 272: 271:hieroglyphics 268: 264: 260: 256: 239: 235: 233: 229: 225: 217:Jaenecke 1996 213: 208: 206: 201: 199: 198: 193: 189: 185: 181: 177: 173: 169: 165: 161: 157: 142: 140: 136: 132: 127: 125: 124: 119: 115: 111: 107: 103: 99: 98: 93: 82: 79: 71: 61: 57: 51: 50: 44: 39: 30: 29: 26: 22: 2075: 2065: 2055: 2045: 2035: 2012: 1985: 1963: 1956: 1905: 1904: 1897: 1827: 1816: 1782: 1775: 1768: 1758: 1748: 1738: 1731: 1721: 1717: 1707: 1700: 1693: 1686: 1679: 1672: 1665: 1658: 1651: 1644: 1637: 1634:Lewis, C. I. 1627: 1620: 1613: 1603: 1591: 1581: 1574: 1567: 1557: 1551: 1533: 1523: 1519: 1512: 1508: 1504: 1497: 1493: 1486: 1476: 1469: 1462: 1453: 1449: 1445: 1443: 1438: 1436: 1421: 1409:. Retrieved 1401: 1392: 1380:. Retrieved 1370: 1330:Latin script 1320:(IPA) is an 1310: 1273: 1245: 1231: 1226:The work of 1220: 1214: 1210: 1192: 1174:Baháʼí Faith 1158: 1149: 1143: 1129: 1123: 1108:Otto Neurath 1101: 1086:Otto Neurath 1066: 1040: 1031:Even though 1025: 1019: 1018:'s landmark 1004: 992: 988: 984: 978:pictographic 962:model theory 934:group theory 922: 918: 914: 904: 864: 861:John Wilkins 854: 848: 834: 830: 826: 820: 808: 806: 800: 798: 754: 745: 730: 721: 706:Please help 694: 665: 663: 645: 638: 630: 620: 618: 590: 575: 571: 560: 549: 547: 537: 533: 530: 515: 507: 505: 487: 483: 473: 460: 458: 454: 450:Rescher 1954 442: 438: 434: 432: 425: 418: 411: 407: 398: 396: 389: 381: 373: 367: 365: 355: 351: 347: 341: 336: 332: 325: 316: 311: 297:calculations 295: 291: 280: 274: 252: 237: 232:John Wilkins 221: 210: 204: 202: 195: 171: 155: 153: 138: 134: 130: 128: 121: 118:metaphysical 105: 101: 96: 95: 89: 74: 65: 46: 25: 2003:Rationalism 1769:Synthese 17 1403:SourceForge 1378:. June 2003 1270:Blissymbols 1228:Mario Bunge 1075:metaphysics 887:pansophical 781:engineering 773:rationalism 476:pictographs 308:Metaphysics 267:metaphysics 263:mathematics 188:Interlingua 60:introducing 2118:Categories 2077:Monadology 1917:Difference 1875:philosophy 1362:References 1324:system of 1322:alphabetic 1168:, and the 980:notations. 970:pragmatics 958:set theory 823:Kurt Gödel 785:empiricism 724:April 2011 512:pictograms 506:Since the 160:pasigraphy 68:April 2021 43:references 2067:ThĂ©odicĂ©e 1976:Plenitude 1616:. Kluwer. 1606:. Reidel. 1150:Mechanics 1115:pictogram 1071:hostility 1049:semiotics 1037:semiotics 966:semantics 879:thesaurus 871:thesaurus 751:vagueness 695:does not 480:logograms 380:Leibniz, 352:functions 282:language. 277:writing: 180:Esperanto 110:universal 2105:Category 2014:Vis viva 1993:Theodicy 1922:Dynamism 1761:. Dover. 1640:. Dover. 1612:, 1997. 1590:, 1951. 1566:, 2001. 1532:, 1901. 1489:. 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Index

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universal
Gottfried Leibniz
metaphysical
calculus ratiocinator
pasigraphy
ideographic language
Chinese characters
universal language
Esperanto
auxiliary languages
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Hartley Rogers
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