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to be the same as the "indiscernibility of identicals". Given a true statement, one of its two terms may be substituted for the other in any true statement and the result will be true. He continues to show that depending on context, the statement may change in value. In fact, the whole
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In Chapter 20, Definition 1, Leibniz writes: "Terms which can be substituted for one another wherever we please
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are true; however, replacement of the name 'Giorgione' by the name 'Barbarelli' turns (2) into the falsehood:
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of necessity is dependent on context and empty otherwise; for it collapses if
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In Chapter 19, Definition 1, Leibniz writes: "Two terms are the same (
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of statements in which the expressions occur. Substitution
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concerning 'triangle', 'trilateral' can be substituted
61:" meaning "rescue," "salvation," or "welfare," and " 627: 198:Barbarelli was so-called because of his size. 375: 361: 183:Giorgione was so-called because of his size 102:without altering the truth of any statement 91:without altering the truth of any statement 368: 354: 89:) if one can be substituted for the other 53:" is "with (or by) unharmed truth", using 73:The phrase occurs in two fragments from 628: 349: 308:Quintessence: Reference and Modality 295:Quintessence: Reference and Modality 282:Quintessence: Reference and Modality 36:of co-extensional terms can fail in 13: 14: 662: 569:New Essays on Human Understanding 510:Transcendental law of homogeneity 334: 65:" meaning "reality" or "truth". 612: 611: 79:General Science. Characteristics 317: 204:Quine's example here refers to 43:The literal translation of the 300: 287: 274: 261: 1: 598:Leibniz–Clarke correspondence 254: 166:For example, the statements: 197: 182: 174: 7: 418:Characteristica universalis 400:Best of all possible worlds 269:Logic, Language and Meaning 215: 10: 667: 439:Identity of indiscernibles 328:A Survey of Symbolic Logic 249:Without loss of generality 194: 179: 171: 68: 636:Gottfried Wilhelm Leibniz 609: 540: 383: 377:Gottfried Wilhelm Leibniz 559:Discourse on Metaphysics 341:Philosophical Dictionary 175:Giorgione = Barbarelli, 139: 651:Willard Van Orman Quine 532:Well-founded phenomenon 483:Pre-established harmony 395:Alternating series test 222:Propositional attitude 641:Latin logical phrases 411:Calculus ratiocinator 324:Clarence Irving Lewis 147:takes substitutivity 549:De Arte Combinatoria 477:Mathesis universalis 405:Calculus controversy 297:, 2004, pp. 356–357 232:Rule of replacement 227:Referential opacity 26:intersubstitutivity 464:Leibniz's notation 330:, Appendix, Dover. 206:Giorgio Barbarelli 55:ablative of manner 646:Concepts in logic 623: 622: 601:(1715–1716) 520:Universal science 493:Sufficient reason 449:Law of continuity 238:Salva congruitate 202: 201: 187: 186: 116:). For example, ' 112:) or coincident ( 108:), are the same ( 75:Gottfried Leibniz 658: 615: 614: 602: 594: 584: 574: 564: 554: 470:Lingua generalis 370: 363: 356: 347: 346: 311: 304: 298: 291: 285: 278: 272: 265: 192: 191: 169: 168: 126:without loss of 666: 665: 661: 660: 659: 657: 656: 655: 626: 625: 624: 619: 605: 600: 592: 582: 572: 562: 552: 536: 388: 386: 385:Mathematics and 379: 374: 337: 320: 315: 314: 305: 301: 292: 288: 279: 275: 266: 262: 257: 218: 142: 71: 38:opaque contexts 12: 11: 5: 664: 654: 653: 648: 643: 638: 621: 620: 610: 607: 606: 604: 603: 595: 585: 575: 565: 555: 544: 542: 538: 537: 535: 534: 529: 522: 517: 512: 507: 502: 499:Salva veritate 495: 490: 485: 480: 473: 466: 461: 456: 451: 446: 441: 436: 431: 426: 424:Compossibility 421: 414: 407: 402: 397: 391: 389: 384: 381: 380: 373: 372: 365: 358: 350: 344: 343: 336: 335:External links 333: 332: 331: 319: 316: 313: 312: 310:, 2004, p. 361 306:W.V.O. Quine, 299: 293:W.V.O. Quine, 286: 284:, 2004, p. 378 280:W.V.O. Quine, 273: 267:L.T.F. Gamut, 259: 258: 256: 253: 252: 251: 246: 244:Truth function 241: 234: 229: 224: 217: 214: 200: 199: 196: 185: 184: 181: 177: 176: 173: 163:is withdrawn. 149:salva veritate 141: 138: 137: 136: 133:salva veritate 106:salva veritate 98: 95:salva veritate 70: 67: 50:salva veritate 34:salva veritate 22:salva veritate 9: 6: 4: 3: 2: 663: 652: 649: 647: 644: 642: 639: 637: 634: 633: 631: 618: 608: 599: 596: 591: 590: 586: 581: 580: 576: 571: 570: 566: 561: 560: 556: 551: 550: 546: 545: 543: 539: 533: 530: 528: 527: 523: 521: 518: 516: 513: 511: 508: 506: 503: 501: 500: 496: 494: 491: 489: 486: 484: 481: 479: 478: 474: 472: 471: 467: 465: 462: 460: 459:Leibniz's gap 457: 455: 454:Leibniz wheel 452: 450: 447: 445: 444:Individuation 442: 440: 437: 435: 432: 430: 427: 425: 422: 420: 419: 415: 413: 412: 408: 406: 403: 401: 398: 396: 393: 392: 390: 382: 378: 371: 366: 364: 359: 357: 352: 351: 348: 342: 339: 338: 329: 325: 322: 321: 309: 303: 296: 290: 283: 277: 270: 264: 260: 250: 247: 245: 242: 240: 239: 235: 233: 230: 228: 225: 223: 220: 219: 213: 211: 207: 193: 190: 178: 170: 167: 164: 162: 158: 155: 150: 146: 134: 130: 129: 123: 119: 115: 111: 107: 103: 99: 96: 92: 88: 84: 83: 82: 80: 76: 66: 64: 60: 56: 52: 51: 46: 41: 39: 35: 31: 27: 23: 19: 587: 577: 567: 557: 547: 524: 498: 497: 475: 468: 416: 409: 327: 318:Bibliography 307: 302: 294: 289: 281: 276: 268: 263: 236: 203: 188: 165: 148: 145:W.V.O. Quine 143: 132: 125: 114:coincidentia 113: 109: 105: 101: 94: 90: 86: 78: 72: 62: 58: 49: 48: 42: 33: 25: 21: 15: 515:Rationalism 157:modal logic 30:truth-value 630:Categories 589:Monadology 429:Difference 387:philosophy 255:References 154:quantified 18:philosophy 579:ThĂ©odicĂ©e 488:Plenitude 210:sobriquet 617:Category 526:Vis viva 505:Theodicy 434:Dynamism 216:See also 118:triangle 63:veritate 195:  161:essence 69:Leibniz 593:(1714) 583:(1710) 573:(1704) 563:(1686) 553:(1666) 271:, 1991 122:Euclid 541:Works 140:Quine 128:truth 110:eadem 87:eadem 59:salva 45:Latin 180:(2) 172:(1) 24:(or 208:'s 135:)." 97:)." 77:'s 57:: " 16:In 632:: 326:, 81:: 40:. 20:, 369:e 362:t 355:v 131:( 104:( 93:( 47:"

Index

philosophy
truth-value
opaque contexts
Latin
ablative of manner
Gottfried Leibniz
triangle
Euclid
truth
W.V.O. Quine
quantified
modal logic
essence
Giorgio Barbarelli
sobriquet
Propositional attitude
Referential opacity
Rule of replacement
Salva congruitate
Truth function
Without loss of generality
Clarence Irving Lewis
Philosophical Dictionary
v
t
e
Gottfried Wilhelm Leibniz
Alternating series test
Best of all possible worlds
Calculus controversy

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