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Argumentum a fortiori

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posits not merely that a case regulated by precedential or statutory law and an unregulated case should be treated alike since these cases sufficiently resemble each other, but that the unregulated case deserves to be treated in the same way as the regulated case in a higher degree. The unregulated
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From the whole to the part ("If the law permits a testator to revoke the entirety of a bequest by destroying or altering the document expressing it, then the law also permits a testator to revoke the portion of a bequest contained in a given portion of a document by destroying or altering that
264:. "Being dead" trumps other arguments that might be made to show that the person is dead, such as "he is no longer breathing"; therefore, "he is no longer breathing" is an extrapolation from his being dead and is a derivation of this strong argument. 369:
From greater to smaller ("If a door is big enough for a person two metres high, then a shorter person may also come through"; "If a canister may store ten litres of petrol, then it may also store three litres of
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describes a simple and obvious inference from a claim about a stronger entity, greater quantity, or general class to one about a weaker entity, smaller quantity, or specific member of that class:
306:. Given some theorem with an additional restriction imposed upon this axiom, an "a fortiori" proof will always hold. To demonstrate this, consider the following case: 162:
as in "a usage to be resisted". He provides this example: "Clearly, if laws depend so heavily on public acquiescence, the case of conventions is an
658: 406:"who may more, all the more so may less" (qui potest plus, potest minus) and relates to the statutory provisions that permit to do something 285:
If a teacher refuses to add 5 points to a student's grade because the student does not deserve an additional 5 points, it can be inferred
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Because bijections are a special case of functions, it automatically follows that if (1) holds, then (2) will also hold. Therefore, any
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that he is exempted from the suspect list for a murder that took place on a later date, viz "Allen died on April 22nd, therefore,
585: 717: 683: 496: 727: 693: 666: 637: 542: 509: 474: 185:, literally "mild and severe", the mild case being the one we know about, while trying to infer about the more severe case. 409:"who is ordered more, all the more so, is ordered less" and relates to the statutory provisions that order to do something 182: 610: 146: 417:
argument is sometimes considered in terms of analogical reasoning – especially in its legal applications. Reasoning
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case is here more similar (analogues) to the regulated case than this case is similar (analogues) to itself.
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From stronger to weaker ("If one may safely use a rope to tow a truck, one may also use it to tow a car.")
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If driving 10 mph over the speed limit is punishable by a fine of $ 50, it can be inferred
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If a person is dead (the stronger reason), then one can, with equal or greater certainty, argue
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Das argumentum a fortiori: eine Pilot-Studie anhand der Praxis von Entscheidungsbegründungen
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that driving 20 mph over the speed limit is also punishable by a fine of at least $ 50.
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From general to particular ("What holds for all X also holds for one particular X")
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of (1) also suffices as a proof of (2). Thus, (2) is an "a fortiori" argument.
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P(A). (Even if A were empty, the powerset would still contain the empty set.)
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that the teacher will also refuse to raise the student's grade by 10 points.
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If it is known that a person is dead on a certain date, it may be inferred
194: 124: 319: 159: 605:(1st ed.). Cambridge: Cambridge University Press. p. 105. 441: 388:
The reverse, less known and less frequently applicable argument is
244: 178: 722:(1 ed.). Oxford: Oxford University Press. pp. 3–4. 688:(1 ed.). Oxford: Oxford University Press. pp. 2–3. 537:(3rd ed.). Oxford: Oxford University Press. p. 28. 353: 303: 239: 198: 127:
to argue in favor of a second proposition that is held to be
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A Fortiori Logic: Innovations, History and Assessments
394:, which denotes an inference from smaller to bigger. 93: 44: 62: 50: 469:. Oxford: Oxford University Press. pp. x–xii. 237:arguments are proved utilising the methods used in 188: 105: 85: 56: 36: 462: 716:Fellmeth, Aaron Xavier; Horwitz, Maurice (2009). 682:Fellmeth, Aaron Xavier; Horwitz, Maurice (2009). 748: 715: 681: 201:), the instrument of argumentation known as 625: 131:in, and even more certain than, the first. 24:(literally "argument from the stronger ") ( 603:Sharī'a: Theory, Practice, Transformations 298:Consider the case where there is a single 275:, Allen did not murder Joe on April 23rd." 652: 123:that draws upon existing confidence in a 489: 465:A Dictionary of Latin Words and Phrases 460: 749: 600: 557: 532: 497:The Cambridge Dictionary of Philosophy 560:"Torah Methodology #1 – Kal v'Chomer" 583: 381: 345: 209:is found to have a resemblance with 719:Guide to Latin in international law 685:Guide to Latin in international law 626:Grabenhorst, Thomas Kyrill (1990). 302:condition required to satisfy some 16:Argument from a yet stronger reason 13: 494:argument". In Audi, Robert (ed.). 14: 773: 500:(Third ed.). New York City: 293: 221:meaning "what is to be said of". 139: 224: 217:has been derived from the words 189:Relation to ancient Indian logic 177:arguments are regularly used in 81: 32: 709: 169: 675: 657:(2nd ed.). Chelsea, NYC: 646: 619: 594: 577: 551: 535:Garner's Modern American Usage 526: 483: 454: 437:Principle of sufficient reason 147:Garner's Modern American Usage 1: 447: 655:Set Theory and Metric Spaces 7: 425: 250: 154:says writers sometimes use 10: 778: 653:Kaplansky, Irving (1977). 502:Cambridge University Press 490:Purtill, Richard (2015). " 374:portion of the document.") 314:A, there does not exist a 533:Garner, Bryan A. (2009). 397: 327:one-to-one correspondence 584:Sion, Avi (2013-11-24). 340: 300:necessary and sufficient 134: 461:Morwood, James (1998). 260:that the person is not 757:Latin logical phrases 601:Hallaq, Wael (2009). 325:There cannot exist a 231:Islamic jurisprudence 21:Argumentum a fortiori 432:Argumentation theory 195:ancient Indian logic 632:(in German). Lang. 329:between A and P(A). 318:mapping A onto its 558:Abramowitz, Jack. 729:978-0-19-536938-0 695:978-0-19-536938-0 668:978-0-8284-0298-9 639:978-3-631-43261-7 544:978-0-19-538275-4 511:978-1-139-05750-9 476:978-0-19-860109-8 391:a minore ad maius 383:A minore ad maius 359:a maiore ad minus 347:A maiore ad minus 769: 741: 740: 738: 736: 713: 707: 706: 704: 702: 679: 673: 672: 650: 644: 643: 623: 617: 616: 598: 592: 591: 581: 575: 574: 572: 570: 555: 549: 548: 530: 524: 523: 487: 481: 480: 468: 458: 118: 117: 114: 113: 110: 107: 104: 101: 98: 95: 91: 90: 87: 80: 72: 71: 68: 67: 64: 61: 58: 55: 52: 49: 46: 42: 41: 38: 31: 777: 776: 772: 771: 770: 768: 767: 766: 747: 746: 745: 744: 734: 732: 730: 714: 710: 700: 698: 696: 680: 676: 669: 651: 647: 640: 624: 620: 613: 599: 595: 582: 578: 568: 566: 556: 552: 545: 531: 527: 512: 488: 484: 477: 459: 455: 450: 428: 400: 386: 350: 343: 296: 253: 227: 191: 181:under the name 172: 142: 137: 119:) is a form of 92: 84: 75: 74: 43: 35: 26: 25: 17: 12: 11: 5: 775: 765: 764: 759: 743: 742: 728: 708: 694: 674: 667: 661:. p. 29. 659:AMS Publishing 645: 638: 618: 612:978-0521678742 611: 593: 576: 564:Orthodox Union 550: 543: 525: 510: 504:. p. 14. 482: 475: 452: 451: 449: 446: 445: 444: 439: 434: 427: 424: 411: 410: 407: 399: 396: 385: 380: 379: 378: 375: 371: 367: 349: 344: 342: 339: 331: 330: 323: 295: 294:In mathematics 292: 291: 290: 283: 276: 265: 252: 249: 243:(reasoning by 226: 223: 207:kaimutya nyaya 190: 187: 171: 168: 141: 140:American usage 138: 136: 133: 15: 9: 6: 4: 3: 2: 774: 763: 760: 758: 755: 754: 752: 731: 725: 721: 720: 712: 697: 691: 687: 686: 678: 670: 664: 660: 656: 649: 641: 635: 631: 630: 622: 614: 608: 604: 597: 589: 588: 580: 565: 561: 554: 546: 540: 536: 529: 521: 517: 513: 507: 503: 499: 498: 493: 486: 478: 472: 467: 466: 457: 453: 443: 440: 438: 435: 433: 430: 429: 423: 420: 416: 408: 405: 404: 403: 395: 393: 392: 384: 376: 372: 368: 365: 364: 363: 361: 360: 355: 348: 338: 336: 328: 324: 321: 317: 313: 309: 308: 307: 305: 301: 288: 284: 281: 277: 274: 270: 266: 263: 259: 255: 254: 248: 246: 242: 241: 236: 232: 225:Islamic usage 222: 220: 216: 212: 208: 204: 200: 196: 186: 184: 183:kal va-chomer 180: 176: 167: 165: 161: 157: 153: 149: 148: 132: 130: 126: 122: 121:argumentation 116: 78: 70: 29: 23: 22: 733:. Retrieved 718: 711: 699:. Retrieved 684: 677: 654: 648: 628: 621: 602: 596: 586: 579: 567:. Retrieved 563: 553: 534: 528: 495: 492:a fortoriori 491: 485: 464: 456: 418: 414: 412: 401: 390: 389: 387: 382: 358: 357: 351: 346: 332: 297: 286: 279: 272: 268: 257: 238: 234: 228: 218: 214: 210: 206: 202: 192: 174: 173: 170:Jewish usage 163: 155: 145: 143: 20: 19: 18: 590:. Avi Sion. 213:argument. K 125:proposition 751:Categories 735:21 October 701:21 October 448:References 419:a fortiori 415:a fortiori 287:a fortiori 280:a fortiori 273:a fortiori 269:a fortiori 258:a fortiori 235:a fortiori 211:a fortiori 179:Jewish law 175:A fortiori 164:a fortiori 156:a fortiori 762:Arguments 520:927145544 370:petrol.") 262:breathing 203:kaimutika 160:adjective 442:Rhetoric 426:See also 320:powerset 316:function 310:For any 251:Examples 215:aimutika 129:implicit 569:20 July 245:analogy 219:kim uta 726:  692:  665:  636:  609:  541:  518:  508:  473:  398:In law 166:one." 158:as an 152:Garner 354:logic 341:Types 335:proof 304:axiom 240:qiyas 199:nyaya 135:Usage 737:2023 724:ISBN 703:2023 690:ISBN 663:ISBN 634:ISBN 607:ISBN 571:2016 539:ISBN 516:OCLC 506:ISBN 471:ISBN 413:An 352:In 312:set 247:). 229:In 205:or 193:In 144:In 109:ɔːr 97:ɔːr 48:ɔːr 753:: 562:. 514:. 356:, 233:, 150:, 112:aɪ 89:eɪ 79:: 77:US 73:, 60:oʊ 40:ɑː 30:: 28:UK 739:. 705:. 671:. 642:. 615:. 573:. 547:. 522:. 479:. 197:( 115:/ 106:ˈ 103:i 100:ʃ 94:f 86:ˈ 83:/ 69:/ 66:i 63:r 57:ˈ 54:i 51:t 45:f 37:ˈ 34:/

Index

UK
/ˈɑːfɔːrtiˈri/
US
/ˈfɔːrʃiˈɔːr/
argumentation
proposition
implicit
Garner's Modern American Usage
Garner
adjective
Jewish law
kal va-chomer
ancient Indian logic
nyaya
Islamic jurisprudence
qiyas
analogy
breathing
necessary and sufficient
axiom
set
function
powerset
one-to-one correspondence
proof
logic
Argumentation theory
Principle of sufficient reason
Rhetoric
A Dictionary of Latin Words and Phrases

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