Knowledge

First principle

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knowledge of all that man can know, as well for the conduct of his life as for the preservation of his health and the discovery of all the arts, and that knowledge to subserve these ends must necessarily be deduced from first causes; so that in order to study the acquisition of it (which is properly called philosophizing), we must commence with the investigation of those first causes which are called Principles. Now, these principles must possess two conditions: in the first place, they must be so clear and evident that the human mind, when it attentively considers them, cannot doubt their truth; in the second place, the knowledge of other things must be so dependent on them as that though the principles themselves may indeed be known apart from what depends on them, the latter cannot nevertheless be known apart from the former. It will accordingly be necessary thereafter to endeavor so to deduce from those principles the knowledge of the things that depend on them, as that there may be nothing in the whole series of deductions which is not perfectly manifest.
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elements. It is clear, then, that in the science of nature as elsewhere, we should try first to determine questions about the first principles. The naturally proper direction of our road is from things better known and clearer to us, to things that are clearer and better known by nature; for the things that are known to us are not the same as the things known unconditionally (haplôs). Hence it is necessary for us to progress, following this procedure, from the things that are less clear by nature, but clearer to us, towards things that are clearer and better known by nature. (Phys. 184a10–21)
282:, considered as a divine primordial condition, from which everything else appeared. In the creation "chaos" is a gaping-void, but later the word is used to describe the space between the Earth and the sky, after their separation. "Chaos" may mean infinite space, or a formless matter which can be differentiated. The notion of temporal infinity was familiar to the Greek mind from remote antiquity in the religious conception of immortality. The conception of the "divine" as an origin influenced the first Greek philosophers. In the 535: 328:, who believed it was air. This is considered as a permanent substance or either one or more which is conserved in the generation of rest of it. From this all things first come to be and into this they are resolved in a final state. This source of entity is always preserved. Although their theories were primitive, these philosophers were the first to give an explanation of the physical world without referencing the supernatural; this opened the way for much of modern 448:
is the condition necessary for the existence of something, the basis for what he calls "first philosophy" or metaphysics. The search for first principles is not peculiar to philosophy; philosophy shares this aim with biological, meteorological, and historical inquiries, among others. But Aristotle's
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I should have desired, in the first place, to explain in it what philosophy is, by commencing with the most common matters, as, for example, that the word philosophy signifies the study of wisdom, and that by wisdom is to be understood not merely prudence in the management of affairs, but a perfect
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Anaximenes, Anaximander's pupil, advanced yet another theory. He returns to the elemental theory, but this time posits air, rather than water, as the arche and ascribes to it divine attributes. He was the first recorded philosopher who provided a theory of change and supported it with observation.
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Phys. 150, 22). He probably intended it to mean primarily "indefinite in kind" but assumed it also to be "of unlimited extent and duration". The notion of temporal infinity was familiar to the Greek mind from remote antiquity in the religious conception of immortality and Anaximander's description
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In every systematic inquiry (methodos) where there are first principles, or causes, or elements, knowledge and science result from acquiring knowledge of these; for we think we know something just in case we acquire knowledge of the primary causes, the primary first principles, all the way to the
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Thales of Miletus (7th to 6th century BC), the father of philosophy, claimed that the first principle of all things is water, and considered it as a substance that contains in it motion and change. His theory was supported by the observation of moisture throughout the world and coincided with his
487:, to systematically doubt everything he could possibly doubt until he was left with what he saw as purely indubitable truths. Using these self-evident propositions as his axioms, or foundations, he went on to deduce his entire body of knowledge from them. The foundations are also called 239:) is an Ancient Greek word with primary senses "beginning", "origin" or "source of action": from the beginning, οr the original argument, "command". The first principle or element corresponds to the "ultimate underlying substance" and "ultimate indemonstrable principle". 251:
already embodied the desire to articulate reality as a whole and this universalizing impulse was fundamental for the first projects of speculative theorizing. It appears that the order of "being" was first imaginatively visualized before it was abstractly thought.
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terms, reasoning or arguments, in that the former are simply assumed and exist prior to the reasoning process and the latter are deduced or inferred after the initial reasoning process. First principles are generally treated in the realm of philosophy known as
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in the given arena, before reasoning up by asking which ones are relevant to the question at hand, then cross referencing conclusions based on chosen axioms and making sure conclusions do not violate any fundamental laws.
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The connection between knowledge and first principles is not axiomatic as expressed in Aristotle's account of a first principle (in one sense) as "the first basis from which a thing is known" (Met. 1013a14–15). For
407:(thinning or thickening), he explains how air is part of a series of changes. Rarefied air becomes fire, condensed it becomes first wind, then cloud, water, earth, and stone in order. The 780: 263:, the primordial world is described as a "watery chaos" from which everything else appeared. This watery chaos has similarities in the cosmogony of the Greek mythographer 449:
references to first principles in this opening passage of the Physics and at the start of other philosophical inquiries imply that it is a primary task of philosophy.
135:; its hundreds of geometric propositions can be deduced from a set of definitions, postulates, and common notions: all three types constitute first principles. 255:
In the mythological cosmogonies of the Near East, the universe is formless and empty and the only existing thing prior to creation was the water abyss. In the
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and later "first principle" or "element". By extension, it may mean "first place", "method of government", "empire, realm", "authorities" The concept of an
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When Aristotle explains in general terms what he tries to do in his philosophical works, he says he is looking for "first principles" (or "origins";
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Anaximander argued that water could not be the arche, because it could not give rise to its opposite, fire. Anaximander claimed that none of the
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VOL I, Principles, Preface to the French edition. Author's letter to the translator of the book which may here serve as a preface, p. 181.
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theory that the Earth floated on water. His ideas were influenced by the Near-Eastern mythological cosmogony and probably by the
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that cannot be deduced from any other proposition or assumption. First principles in philosophy are from
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Descartes describes the concept of a first principle in the following excerpt from the preface to the
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The earliest Pre-Socratic philosophers, the Ionian material monists, sought to explain all of nature (
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within a set of approximations that do not include fitting the model to experimental data is an
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and the Habit of the First Principle in Thomas Aquinas (New York: Einsiedler Press, 2019)
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that cannot be deduced from any other within that system. The classic example is that of
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and Chaos and made in divine Aether a silvery egg, from which everything else appeared.
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that some of the statements can be deduced from other statements. For example, in the
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The phrase: "Divine is that which had no beginning, neither end" is attributed to
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and other sciences, theoretical work is said to be from first principles, or
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for that which writers from Aristotle onwards called "the substratum" (
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was "the first principle of the philosophy of which I was in search."
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In philosophy "first principles" are often somewhat synonymous with
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truths. His most famous proposition is "Je pense, donc je suis" (
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Among the material monists were the three Milesian philosophers:
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is called "eternal and ageless". (Hippolitus I,6, I;DK B2)
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This is described as a large windy-gap, almost unlimited (
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is technically what underlies all of reality/appearances.
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A Presocratics Reader: Selected Fragments and Testimonia
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The internet Encyclopedia of Philosophy. Anaximenes
893:. Translation H.G.Evelyn White (1914): 116, 736-744 732: 391:was in terms appropriate to this conception. This 121:the last claim can be deduced from the first two. 344:(ocean) is the source of all springs and rivers. 1280: 382:Anaximander was the first philosopher that used 1193: 1009:G.S. Kirk, J.E. Raven and M. Schofield (2003). 841:. Cambridge University Press. pp. 58, 59. 806: 153:terms and arguments, which are contrasted to 1166:C.S.Kirk, J.E.Raven and M.Schofield (2003). 1095:G.S.Kirk, J.E.Raven and M.Schofield (2003). 943:G.S.Kirk, J.E.Raven and M.Schofield (2003). 109:that are consistent with one another, it is 184: 684:First cause | philosophy | Britannica.com 675:, (New York: The Macmillan Co., 1966), 14. 658:First cause | philosophy | Britannica.com 143:In philosophy "first principles" are from 1123:William Keith Chambers Guthrie (2000). 1067:William Keith Chambers Guthrie (2000). 903:William Keith Chambers Guthrie (2000). 835:William Keith Chambers Guthrie (2000). 242: 89:include counterintuitive concepts with 1281: 66:, first principles are referred to as 1314:Concepts in the philosophy of science 1221: 223:before being formalized as a part of 164:, but are an important factor in any 868:. Clarendon Press. pp. 104–107. 861: 529: 453: 215:, through the physical theories of 13: 1260: 479:system of philosophy. He used the 147:attitudes commonly referred to as 96: 14: 1325: 984:The Beginnings of Western Science 862:West, Martin Litchfield (1984). 728: 688: › topic › first-cause 662: › topic › first-cause 533: 399:Using two contrary processes of 297: 1247: 1215: 1187: 1159: 1144: 1116: 1088: 1060: 1043: 1038:Comments on Aristotle's Physics 1030: 1002: 993: 976: 964: 936: 924: 896: 872: 855: 828: 800: 340:statement that the surrounding 16:Basic proposition or assumption 1172:. Cambridge University Press. 1129:. Cambridge University Press. 1101:. Cambridge University Press. 1073:. Cambridge University Press. 1015:. Cambridge University Press. 949:. Cambridge University Press. 909:. Cambridge University Press. 791: 774: 761: 720: 705: 691: 678: 665: 652: 569:, a calculation is said to be 235:sometimes also transcribed as 203:was adapted from the earliest 1: 1197:Presocratic Philosophy. Vol 3 1169:The Pre-socratic Philosophers 1126:A History of Greek Philosophy 1098:The Pre-socratic Philosophers 1070:A History of Greek Philosophy 1040:(24, 13).<DK 12 A9, B1> 1012:The Pre-socratic Philosophers 906:A History of Greek Philosophy 838:A History of Greek Philosophy 645: 525: 503:), which he indicated in his 138: 1227:Aristotle's First Principles 1057:, 1996), pp. 9, 11 & 14. 946:The Presocratic Philosophers 810:Presocratic Philosophy vol.3 590:For example, calculation of 458: 414: 7: 988:University of Chicago Press 608: 379:of Hesiod (yawning abyss). 306:) in terms of one unifying 10: 1330: 768: 753: 713: 698: 686:https://www.britannica.com 660:https://www.britannica.com 635:Clean room implementation 463:Profoundly influenced by 1194:Barry Sandywell (1996). 807:Barry Sandywell (1996). 513:Principles of Philosophy 191:Ancient Greek philosophy 185:Ancient Greek philosophy 124:A first principle is an 43:attitudes and taught by 1309:Metaphysical principles 1231:Oxford University Press 786:A Greek-English Lexicon 505:Discourse on the Method 495:I think, therefore I am 286:cosmogony, the unaging 217:Pre-Socratic philosophy 1200:. Routledge New York. 973:-Metaph.A, 983, b6ff). 890:The Theogony of Hesiod 813:. Routledge New York. 797:Peters Lexicon:1967:23 596:Schrödinger's equation 523: 451: 437: 318:, who believed it was 247:The heritage of Greek 1266:Orestes J. Gonzalez, 571:from first principles 518: 432: 424: 982:Lindberg, David C., 592:electronic structure 243:Mythical cosmogonies 105:, that is, a set of 1294:Concepts in physics 265:Pherecydes of Syros 179:axiomatic reasoning 1150:Daniel.W.Graham. 1055:Hackett Publishing 990:, 2010), pp. 28–9. 545:. You can help by 267:. In the mythical 70:or postulates. In 999:<DK 7 B1a.> 563: 562: 475:who invented the 454:Modern philosophy 1321: 1274: 1254: 1251: 1245: 1244: 1219: 1213: 1211: 1191: 1185: 1183: 1163: 1157: 1148: 1142: 1140: 1120: 1114: 1112: 1092: 1086: 1084: 1064: 1058: 1049:Curd, Patricia, 1047: 1041: 1034: 1028: 1026: 1006: 1000: 997: 991: 980: 974: 968: 962: 960: 940: 934: 928: 922: 920: 900: 894: 876: 870: 869: 865:The Orphic Poems 859: 853: 852: 832: 826: 824: 804: 798: 795: 789: 778: 772: 771: 770: 765: 759: 757: 748: 747: 744: 743: 740: 737: 734: 724: 718: 716: 715: 709: 703: 701: 700: 695: 689: 682: 676: 669: 663: 656: 640:Primitive notion 558: 555: 537: 530: 259:creation story, 1329: 1328: 1324: 1323: 1322: 1320: 1319: 1318: 1299:Foundationalism 1279: 1278: 1267: 1263: 1261:Further reading 1258: 1257: 1252: 1248: 1241: 1220: 1216: 1208: 1192: 1188: 1180: 1164: 1160: 1149: 1145: 1137: 1121: 1117: 1109: 1093: 1089: 1081: 1065: 1061: 1048: 1044: 1035: 1031: 1023: 1007: 1003: 998: 994: 981: 977: 969: 965: 957: 941: 937: 929: 925: 917: 901: 897: 877: 873: 860: 856: 849: 833: 829: 821: 805: 801: 796: 792: 779: 775: 766: 762: 731: 727: 725: 721: 710: 706: 696: 692: 683: 679: 671:Vernon Bourke, 670: 666: 657: 653: 648: 611: 559: 553: 550: 543:needs expansion 528: 500:Cogito ergo sum 485:Cartesian doubt 481:method of doubt 477:foundationalist 461: 456: 417: 300: 245: 187: 141: 99: 97:In formal logic 29:first principle 17: 12: 11: 5: 1327: 1317: 1316: 1311: 1306: 1304:Formal systems 1301: 1296: 1291: 1277: 1276: 1262: 1259: 1256: 1255: 1246: 1239: 1223:Irwin, Terence 1214: 1206: 1186: 1178: 1158: 1143: 1135: 1115: 1107: 1087: 1079: 1059: 1042: 1029: 1021: 1001: 992: 975: 963: 955: 935: 923: 915: 895: 871: 854: 847: 827: 819: 799: 790: 773: 760: 719: 704: 699:ἐξ ἀρχῆς λόγος 690: 677: 664: 650: 649: 647: 644: 643: 642: 637: 632: 627: 625:Law of thought 622: 617: 610: 607: 561: 560: 540: 538: 527: 524: 460: 457: 455: 452: 416: 413: 299: 296: 244: 241: 186: 183: 140: 137: 103:logical system 98: 95: 15: 9: 6: 4: 3: 2: 1326: 1315: 1312: 1310: 1307: 1305: 1302: 1300: 1297: 1295: 1292: 1290: 1287: 1286: 1284: 1273: 1271: 1270:Actus Essendi 1265: 1264: 1250: 1242: 1240:0-19-824290-5 1236: 1233:. p. 3. 1232: 1228: 1224: 1218: 1209: 1207:9780415101707 1203: 1199: 1198: 1190: 1181: 1179:9780521274555 1175: 1171: 1170: 1162: 1155: 1154: 1147: 1138: 1136:9780521294201 1132: 1128: 1127: 1119: 1110: 1108:9780521274555 1104: 1100: 1099: 1091: 1082: 1080:9780521294201 1076: 1072: 1071: 1063: 1056: 1052: 1046: 1039: 1033: 1024: 1022:9780521274555 1018: 1014: 1013: 1005: 996: 989: 985: 979: 972: 967: 958: 956:9780521274555 952: 948: 947: 939: 933: 927: 918: 916:9780521294201 912: 908: 907: 899: 892: 891: 885: 881: 875: 867: 866: 858: 850: 848:9780521294201 844: 840: 839: 831: 822: 820:9780415101707 816: 812: 811: 803: 794: 788: 787: 782: 777: 764: 756: 751: 750:Ancient Greek 746: 723: 708: 694: 687: 681: 674: 668: 661: 655: 651: 641: 638: 636: 633: 631: 628: 626: 623: 621: 618: 616: 613: 612: 606: 604: 602: 597: 593: 588: 586: 582: 578: 577: 572: 568: 557: 548: 544: 541:This section 539: 536: 532: 531: 522: 517: 515: 514: 508: 506: 502: 501: 496: 492: 491: 486: 483:, now called 482: 478: 474: 470: 466: 450: 447: 443: 436: 431: 429: 423: 421: 420:Terence Irwin 412: 410: 406: 402: 396: 394: 389: 385: 380: 378: 374: 370: 366: 362: 358: 354: 350: 345: 343: 339: 333: 331: 327: 323: 322: 317: 313: 309: 305: 298:Ionian school 295: 293: 289: 285: 281: 277: 273: 270: 266: 262: 258: 253: 250: 240: 238: 234: 230: 226: 222: 218: 214: 210: 206: 202: 198: 197: 192: 182: 180: 176: 175: 169: 168:speculation. 167: 163: 158: 157: 152: 151: 146: 136: 134: 133: 127: 122: 120: 116: 112: 108: 104: 94: 92: 88: 83: 79: 78: 73: 69: 65: 61: 56: 54: 50: 46: 45:Aristotelians 42: 38: 34: 30: 26: 22: 1269: 1249: 1226: 1217: 1196: 1189: 1168: 1161: 1152: 1146: 1125: 1118: 1097: 1090: 1069: 1062: 1050: 1045: 1037: 1036:Simplicius, 1032: 1027:p 89, 93, 94 1011: 1004: 995: 983: 978: 966: 945: 938: 926: 905: 898: 889: 874: 864: 857: 837: 830: 809: 802: 793: 784: 776: 763: 722: 711:(in plural: 707: 693: 680: 672: 667: 654: 600: 589: 587:parameters. 574: 570: 564: 551: 547:adding to it 542: 519: 511: 509: 498: 494: 488: 480: 462: 445: 438: 433: 425: 418: 408: 405:condensation 397: 392: 383: 381: 376: 372: 346: 334: 319: 307: 301: 254: 246: 236: 232: 200: 195: 194: 188: 177:, datum and 172: 170: 166:metaphysical 162:epistemology 156:a posteriori 154: 148: 142: 131: 123: 118: 107:propositions 101:In a formal 100: 75: 64:formal logic 57: 28: 18: 1289:Abstraction 1212:pp. 142–144 615:Abstraction 473:rationalist 401:rarefaction 316:Anaximander 261:Enuma Elish 225:metaphysics 205:cosmogonies 145:first cause 91:reiteration 60:mathematics 41:first cause 33:proposition 31:is a basic 1283:Categories 1229:. Oxford: 646:References 620:Brute fact 526:In physics 388:Simplicius 326:Anaximenes 257:Babylonian 139:Philosophy 87:Physicists 49:postulates 37:assumption 21:philosophy 971:Aristotle 601:ab initio 576:ab initio 554:July 2023 469:Descartes 459:Descartes 442:Aristotle 415:Aristotle 290:produced 272:cosmogony 249:mythology 229:Aristotle 130:Euclid's 115:syllogism 77:ab initio 1225:(1988). 1085:p 55, 77 884:Tartarus 769:ἐξ ἀρχῆς 609:See also 603:approach 516:(1644): 490:a priori 422:writes: 349:elements 174:a priori 150:a priori 132:Elements 111:possible 53:Kantians 888:online 825:p.28,42 630:Present 585:fitting 567:physics 373:Apeiron 369:apeiron 342:Oceanus 338:Homeric 330:science 321:apeiron 288:Chronos 213:Orphism 72:physics 25:science 1237:  1204:  1176:  1133:  1105:  1077:  1019:  953:  932:Thales 913:  845:  817:  673:Ethics 594:using 471:was a 465:Euclid 444:, the 428:archai 324:; and 312:Thales 308:arche. 304:physis 292:Aether 284:Orphic 276:Hesiod 209:Hesiod 82:axioms 68:axioms 1184:p 144 1113:p 110 880:abyss 714:ἀρχαί 581:model 573:, or 497:, or 446:arche 409:arche 393:arche 384:arche 377:chaos 365:water 353:earth 280:Chaos 269:Greek 237:arkhé 233:Arche 221:Plato 201:arche 196:arche 126:axiom 1235:ISBN 1202:ISBN 1174:ISBN 1141:p 83 1131:ISBN 1103:ISBN 1075:ISBN 1017:ISBN 961:p.24 951:ISBN 921:p 83 911:ISBN 843:ISBN 815:ISBN 781:ἀρχή 755:ἀρχή 583:and 403:and 357:fire 219:and 211:and 62:and 27:, a 23:and 736:ɑːr 565:In 549:. 430:): 361:air 274:of 227:by 207:of 189:In 58:In 51:by 35:or 19:In 1285:: 886:: 783:, 752:: 717:), 605:. 467:, 363:, 359:, 355:, 231:. 181:. 117:, 93:. 55:. 1275:. 1243:. 1210:. 1182:. 1156:. 1139:. 1111:. 1083:. 1053:( 1025:. 986:( 959:. 919:. 851:. 823:. 758:; 745:/ 742:i 739:k 733:ˈ 730:/ 726:( 702:: 556:) 552:( 351:(

Index

philosophy
science
proposition
assumption
first cause
Aristotelians
postulates
Kantians
mathematics
formal logic
axioms
physics
ab initio
axioms
Physicists
reiteration
logical system
propositions
possible
syllogism
axiom
Euclid's Elements
first cause
a priori
a posteriori
epistemology
metaphysical
a priori
axiomatic reasoning
Ancient Greek philosophy

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