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| Alphabetical [« »] but 658 but-not 1 by 236 c 783 ca 5 call 17 called 1 | Frequency [« »] 854 not 850 be 797 for 783 c 727 in 658 but 599 all | Aristotle Prior Analytics IntraText - Concordances c |
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501 II, 6 | have the first figure. For C belongs to all A and B to 502 II, 6 | belongs to all A and B to no C, consequently B belongs 503 II, 6 | to all B, and not to all C: the conclusion is BC. If 504 II, 6 | to all A, but not to all C, A will not belong to some 505 II, 6 | will not belong to some C, B being middle. But if 506 II, 7 | impossible. Let A belong to all C and B to some C: the conclusion 507 II, 7 | belong to all C and B to some C: the conclusion is the statement 508 II, 7 | then it is assumed that C belongs to all A, it has 509 II, 7 | it has been proved that C belongs to some B, but that 510 II, 7 | but that B belongs to some C has not been proved. And 511 II, 7 | yet it is necessary, if C belongs to some B, that 512 II, 7 | B should belong to some C. But it is not the same 513 II, 7 | But if B belongs to all C, and A to some C, it will 514 II, 7 | to all C, and A to some C, it will be possible to 515 II, 7 | when it is assumed that C belongs to all B, and A 516 II, 7 | and A to some B. For if C belongs to all B and A to 517 II, 7 | A should belong to some C, B being middle. And whenever 518 II, 7 | proved. Let B belong to all C, and A not to some C: the 519 II, 7 | all C, and A not to some C: the conclusion is that 520 II, 7 | is assumed further that C belongs to all B, it is 521 II, 7 | should not belong to some C, B being middle. But when 522 II, 7 | e.g. if A belongs to no C, and B to some C: the conclusion 523 II, 7 | belongs to no C, and B to some C: the conclusion is that 524 II, 7 | then it is assumed that C belongs to some of that 525 II, 7 | belong, it is necessary that C should belong to some of 526 II, 8 | Suppose that A been proved of C, through B as middle term. 527 II, 8 | assumed that A belongs to no C, but to all B, B will belong 528 II, 8 | all B, B will belong to no C. And if A belongs to no 529 II, 8 | And if A belongs to no C, and B to all C, A will 530 II, 8 | belongs to no C, and B to all C, A will belong, not to no 531 II, 8 | proved that A belongs to no C through B. Then if it is 532 II, 8 | assumed that A belongs to all C, and to no B, B will belong 533 II, 8 | if A and B belong to all C, A will belong to some B: 534 II, 8 | if A belongs not to all C, but to all B, B will belong 535 II, 8 | B will belong not to all C. And if A belongs not to 536 II, 8 | if A belongs not to all C, but B belongs to all C, 537 II, 8 | C, but B belongs to all C, A will belong not to all 538 II, 8 | For if A belongs to some C, and to no B, B will belong, 539 II, 8 | B will belong, not to no C at all, but-not to some 540 II, 8 | at all, but-not to some C. And if A belongs to some 541 II, 8 | And if A belongs to some C, and B to all C, as was 542 II, 8 | to some C, and B to all C, as was originally assumed, 543 II, 8 | has been proved of some C. If then it is assumed that 544 II, 8 | assumed that A belongs to no C, and B to some C, A will 545 II, 8 | belongs to no C, and B to some C, A will not belong to some 546 II, 8 | and if A belongs to no C, but to all B, B will belong 547 II, 8 | all B, B will belong to no C. Thus both premisses are 548 II, 8 | does not belong to some C, but to all B, then B will 549 II, 8 | will not belong to some C. But the original premiss 550 II, 8 | B should belong to some C, and should not belong to 551 II, 8 | should not belong to some C. The universal premiss AB 552 II, 8 | assumed that A belongs to all C, both premisses are refuted: 553 II, 8 | is that A belongs to some C, neither premiss is refuted. 554 II, 9 | belong to all B and to no C: conclusion BC. If then 555 II, 9 | assumed that B belongs to all C, and the proposition AB 556 II, 9 | stands, A will belong to all C, since the first figure 557 II, 9 | produced. If B belongs to all C, and A to no C, then A belongs 558 II, 9 | belongs to all C, and A to no C, then A belongs not to all 559 II, 9 | For if B belongs to some C, and A to no C, then A will 560 II, 9 | belongs to some C, and A to no C, then A will not belong 561 II, 9 | Again if B belongs to some C, and A to all B, A will 562 II, 9 | B, A will belong to some C, so that the syllogism results 563 II, 9 | belongs to no B, and to some C: the conclusion is BC. If 564 II, 9 | assumed that B belongs to some C, and the statement AB stands, 565 II, 9 | does not belong to some C. But the original statement 566 II, 9 | A should belong to some C and also not to some C. 567 II, 9 | some C and also not to some C. Again if B belongs to some 568 II, 9 | Again if B belongs to some C and A to some C, no syllogism 569 II, 9 | to some C and A to some C, no syllogism will be possible: 570 II, 9 | For if B belongs to all C, and A to no B, A will belong 571 II, 9 | no B, A will belong to no C: but it was assumed to belong 572 II, 9 | assumed to belong to some C. Again if B belongs to all 573 II, 9 | Again if B belongs to all C and A to some C, A will 574 II, 9 | belongs to all C and A to some C, A will belong to some B. 575 II, 10| that A belongs to some B, C being taken as middle, and 576 II, 10| B, but B belongs to all C, no syllogism is formed 577 II, 10| syllogism is formed about A and C. Nor if A does not belong 578 II, 10| some B, but belongs to all C, will a syllogism be possible 579 II, 10| be possible about B and C. A similar proof can be 580 II, 10| belongs to no B, and B to all C, then A belongs to no C: 581 II, 10| C, then A belongs to no C: again if A belongs to no 582 II, 10| belongs to no B, and to all C, B belongs to no C. And 583 II, 10| to all C, B belongs to no C. And similarly if one of 584 II, 10| belongs to no B, and B to some C, A will not belong to some 585 II, 10| will not belong to some C: if A belongs to no B, and 586 II, 10| belongs to no B, and to C, B will belong to no C.~ 587 II, 10| to C, B will belong to no C.~Similarly if the original 588 II, 10| to some B, and B to all C, no syllogism is possible ( 589 II, 10| as we saw) about A and C. Nor, if A belongs to some 590 II, 10| belongs to some B, and to no C, was a syllogism possible 591 II, 10| possible concerning B and C. Therefore the premisses 592 II, 10| belongs to all B, and B to C, A belongs to all C: but 593 II, 10| B to C, A belongs to all C: but A was supposed originally 594 II, 10| originally to belong to no C. Again if A belongs to all 595 II, 10| belongs to all B, and to no C, then B belongs to no C: 596 II, 10| C, then B belongs to no C: but it was supposed to 597 II, 10| supposed to belong to all C. A similar proof is possible 598 II, 10| to all B, and B to some C, it results that A belongs 599 II, 10| results that A belongs to some C: but it was supposed to 600 II, 10| supposed to belong to no C. Again if A belongs to all 601 II, 10| belongs to all B, and to no C, then B belongs to no C: 602 II, 10| C, then B belongs to no C: but it was assumed to belong 603 II, 10| assumed to belong to some C. If A belongs to some B 604 II, 10| to some B and B to some C, no syllogism results: nor 605 II, 10| belongs to some B, and to no C. Thus in one way the premisses 606 II, 11| example if A belongs to all B, C being middle, then if it 607 II, 11| belongs to no B, but to all C (which was admitted to be 608 II, 11| be true), it follows that C belongs to no B or not to 609 II, 11| of the terms, viz. that C belongs to all A, or that 610 II, 11| belongs to all or to some C. Then it is necessary that 611 II, 11| that A should belong to no C or not to all C. But this 612 II, 11| belong to no C or not to all C. But this is impossible ( 613 II, 11| clear that A belongs to all C): consequently if this is 614 II, 11| it have been assumed that C belongs to all A. It is 615 II, 11| It is necessary then that C should belong to some B. 616 II, 11| it have been assumed that C belongs to all A. It is 617 II, 11| It is necessary then that C should belong to all B. 618 II, 11| A belongs to all B, and C to all A, then C belongs 619 II, 11| B, and C to all A, then C belongs to all B; so that 620 II, 11| A belongs to some B, and C to all A, then C will belong 621 II, 11| B, and C to all A, then C will belong to some B. If 622 II, 12| assumed that A belongs to all C. If then A belongs not to 623 II, 12| not to all B, but to all C, C will not belong to all 624 II, 12| to all B, but to all C, C will not belong to all B. 625 II, 12| suppose it to be clear that C belongs to all B): consequently 626 II, 12| belongs to no B, and to all C, C will belong to no B. 627 II, 12| belongs to no B, and to all C, C will belong to no B. This 628 II, 12| and let A belong to all C. It is necessary then that 629 II, 12| It is necessary then that C should belong to no B. Consequently, 630 II, 12| and let A belong to no C. It is necessary then that 631 II, 12| It is necessary then that C should not belong to some 632 II, 12| belong to all B, and to no C. It is necessary then that 633 II, 12| It is necessary then that C should belong to no B. But 634 II, 13| not belong to some B, but C belongs to all B: then A 635 II, 13| does not belong to some C. If then this is impossible, 636 II, 13| If A belongs to no B, and C to some B, A will belong 637 II, 13| A will belong not to all C. If then this is false, 638 II, 13| it have been assumed that C belongs to all B. Then it 639 II, 13| A should belong to some C. But ex hypothesi it belongs 640 II, 13| hypothesi it belongs to no C, so that it is false that 641 II, 13| if A belongs to all B and C to some B, then A belongs 642 II, 13| then A belongs to some C. But this we assumed not 643 II, 14| original premisses that C belongs to all A and to 644 II, 14| is the middle figure, if C belongs to all A and to 645 II, 14| original premisses are that C belongs to all A but not 646 II, 14| premisses that B belongs to all C, and A either to all or 647 II, 14| either to all or to some C: for in this way we shall 648 II, 14| if A and B belong to all C, we have the last figure. 649 II, 14| assumed to belong to some C.~Again suppose it has been 650 II, 14| premisses that A belongs to all C, and C to all B: for thus 651 II, 14| A belongs to all C, and C to all B: for thus we shall 652 II, 14| But if A belongs to all C, and C to all B, we have 653 II, 14| A belongs to all C, and C to all B, we have the first 654 II, 14| premisses that A belongs to all C, and C to some B. If the 655 II, 14| A belongs to all C, and C to some B. If the syllogism 656 II, 14| premisses that A belongs to no C, and C to all B, so that 657 II, 14| that A belongs to no C, and C to all B, so that the first 658 II, 14| premisses that A belongs to no C, and C belongs to some B: 659 II, 14| that A belongs to no C, and C belongs to some B: for thus 660 II, 14| original premisses that C belongs to all B, and A 661 II, 14| B, and A belongs to all C; for thus we shall get what 662 II, 14| original premisses that C belongs to some B, and A 663 II, 14| to some B, and A to all C. If the syllogism is negative, 664 II, 14| original premisses that C belongs to no A and to all 665 II, 14| all B, the premisses that C belongs to no A and to some 666 II, 15| stand for good, let B and C stand for science. If then 667 II, 15| belongs to all B and to no C, so that B belongs to no 668 II, 15| so that B belongs to no C: no science then is a science. 669 II, 15| belongs to all B but to no C, so that a particular science 670 II, 15| science if A belongs to all C but to no B, and B is science, 671 II, 15| no B, and B is science, C medicine, and A supposition: 672 II, 15| concerned B, now it concerns C. Similarly if one premiss 673 II, 15| universal or not. Let B and C stand for science, A for 674 II, 15| that B belongs to all A and C to no A, so that a particular 675 II, 15| belong to all B and to no C, or to all C and to no B, 676 II, 15| B and to no C, or to all C and to no B, or to all of 677 II, 16| through B, and B through C, though it was natural that 678 II, 16| though it was natural that C should be proved through 679 II, 16| uncertain whether A belongs to C, and also whether A belongs 680 II, 16| however B is so related to C that they are identical, 681 II, 16| assume that B belongs to C, this being as uncertain 682 II, 16| question whether A belongs to C, the question is not yet 683 II, 17| that A belongs to B, B to C, and C to D, and it should 684 II, 17| belongs to B, B to C, and C to D, and it should be false 685 II, 17| the same that B belongs to C and C to D, the false conclusion 686 II, 17| that B belongs to C and C to D, the false conclusion 687 II, 17| K, and that K belongs to C and C to D, the impossible 688 II, 17| that K belongs to C and C to D, the impossible conclusion 689 II, 18| are more than two, e.g. if C is established through A 690 II, 19| inferred to be true of F, B, C, D, and E being middle terms. 691 II, 19| asking whether B belongs to C; after that he may ask whether 692 II, 19| ask whether B belongs to C, and so on. If the syllogism 693 II, 21| that A belongs to B and to C in virtue of their nature, 694 II, 21| their nature, and that B and C belong to all D in the same 695 II, 21| and B to D, but A to no C, and C to all D, he will 696 II, 21| to D, but A to no C, and C to all D, he will both know 697 II, 21| suppose A belongs to B, B to C, and C to D, but some one 698 II, 21| belongs to B, B to C, and C to D, but some one thinks 699 II, 21| belongs to all B, but to no C: he will both know that 700 II, 21| a way that A belongs to C through B, since the part 701 II, 21| belongs to all B, but to no C, and both B and C belong 702 II, 21| to no C, and both B and C belong to all D. For it 703 II, 21| belongs to nothing to which C belongs, he thinks that 704 II, 21| and again A belongs to no C. An error of this kind is 705 II, 21| belongs to all B, and B to all C, A will belong to all C. 706 II, 21| C, A will belong to all C. If then a man knows that 707 II, 21| knows that A belongs to C. But nothing prevents his 708 II, 21| his being ignorant that C exists; e.g. let A stand 709 II, 21| angles, B for triangle, C for a particular diagram 710 II, 21| A man might think that C did not exist, though he 711 II, 21| Thus then he knows that C contains two right angles 712 II, 21| that B again belongs to C, thinking that A does not 713 II, 21| that A does not belong to C, e.g. knowing that every 714 II, 21| not know that A belongs to C, unless he considers the 715 II, 21| essence of bad, and again C for the essence of good. 716 II, 21| Since then he thinks B and C identical, he will think 717 II, 21| identical, he will think that C is B, and similarly that 718 II, 21| is A, consequently that C is A. For just as we saw 719 II, 21| is true of all of which C is true, and A is true of 720 II, 21| B is true, A is true of C, similarly with the word " 721 II, 21| is"; for we saw that if C is the same as B, and B 722 II, 21| the same as B, and B as A, C is the same as A. Similarly 723 II, 22| both. For if A belongs to C through B, then if A and 724 II, 22| through B, then if A and C are convertible and C belongs 725 II, 22| and C are convertible and C belongs everything to which 726 II, 22| which A belongs, through C as middle, and C is convertible 727 II, 22| through C as middle, and C is convertible with B through 728 II, 22| negative, e.g. if B belongs to C, but A does not belong to 729 II, 22| neither will A belong to C. If then B is convertible 730 II, 22| B is convertible with A, C will be convertible with 731 II, 22| to A; neither then will C: for ex hypothesi B belonged 732 II, 22| hypothesi B belonged to all C. And if C is convertible 733 II, 22| belonged to all C. And if C is convertible with B, B 734 II, 22| convertible also with A, for C is said of that of all of 735 II, 22| which B is said. And if C is convertible in relation 736 II, 22| convertible in relation to A. For C belongs to that to which 737 II, 22| to which B belongs: but C does not belong to that 738 II, 22| convertible, and similarly C and D, and if A or C must 739 II, 22| similarly C and D, and if A or C must belong to anything 740 II, 22| belongs to that to which C belongs, and since A or 741 II, 22| belongs, and since A or C belongs to everything, but 742 II, 22| belongs to everything and if C or D belongs to everything, 743 II, 22| together, then when A and C are convertible B and D 744 II, 22| belongs to it. But if A then C: for they are convertible. 745 II, 22| are convertible. Therefore C and D belong together. But 746 II, 22| to the whole of B and to C and is affirmed of nothing 747 II, 22| and B also belongs to all C, it is necessary that A 748 II, 22| since A is said of B and C only, and B is affirmed 749 II, 22| affirmed both of itself and of C, it is clear that B will 750 II, 22| B belong to the whole of C, and C is convertible with 751 II, 22| belong to the whole of C, and C is convertible with B, it 752 II, 22| for since A belongs to all C, and C to B by conversion, 753 II, 22| A belongs to all C, and C to B by conversion, A will 754 II, 22| similarly D is preferable to C, then if A and C together 755 II, 22| preferable to C, then if A and C together are preferable 756 II, 22| they are opposites: and C is similarly related to 757 II, 22| aversion to the same extent as C (since each is to the same 758 II, 22| desire). Therefore both A and C together, and B and D together, 759 II, 22| aversion. But since A and C are preferable to B and 760 II, 22| desirable with A along with C. But if D is preferable 761 II, 22| object of aversion than C: for the less is opposed 762 II, 22| is preferable to D, and C consequently is less an 763 II, 22| not grant it (for which C stands), to the beloved’ 764 II, 23| middle term between A and C, it consists in proving 765 II, 23| consists in proving through C that A belongs to B. For 766 II, 23| long-lived, B for bileless, and C for the particular long-lived 767 II, 23| belongs to the whole of C: for whatever is bileless 768 II, 23| possessing bile") belongs to all C. If then C is convertible 769 II, 23| belongs to all C. If then C is convertible with B, and 770 II, 23| converted. But we must apprehend C as made up of all the particulars. 771 II, 24| war against neighbours, C Athenians against Thebans, 772 II, 24| clear that B belongs to C and to D (for both are cases 773 II, 25| taught, B for knowledge, C for justice. Now it is clear 774 II, 25| knowledge that A belongs to C. Or again suppose that the 775 II, 25| intermediate between B and C are few: for thus too we 776 II, 26| figure: for it is true of C (the knowable and the unknowable) 777 II, 26| A belongs to B, because C does not follow B. This 778 II, 27| with child, B to have milk, C woman. The proof that wise 779 II, 27| for good, B for wise men, C for Pittacus. It is true 780 II, 27| to affirm both A and B of C: only men do not say the 781 II, 27| B for being with child, C for woman. Now if the one 782 II, 27| for large extremities, and C for lion. B then belongs 783 II, 27| belongs to everything to which C belongs, but also to others.