This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1896 Excerpt: ...the axioms. Addition is no doubt anterior to subtraction and more simple, because the two terms are employed in addition in the same way, which is not the case in subtraction. Arnauld did the opposite of Roberval. He assumed still more than Euclid. As for the maxims, they are sometimes token as established propositions ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1896 Excerpt: ...the axioms. Addition is no doubt anterior to subtraction and more simple, because the two terms are employed in addition in the same way, which is not the case in subtraction. Arnauld did the opposite of Roberval. He assumed still more than Euclid. As for the maxims, they are sometimes token as established propositions whether evident or not. That may be well for beginners whom scrupulousness holds back; hut when the establishment of science is the question, it is a different matter. Thus it is that they are often taken in ethics and even among the logicians in their topics, in some of which there is a good supply, but a part of which contain enough of them vague and obscure. For the rest I said a long time since publicly and privately that it is important to demonstrate all our secondary axioms, which we ordinarily use, by reducing them to the primitive or immediate and indemonstrable axioms, which I recently and elsewhere called the identicals. 2. Ph. Knowledge is self-evident when the agreement or disagreement of ideas is immediately perceived. 3. But there are truths, not recognized as axioms, which are none the less self-evident. Let us see if the four species of agreement of which we spoke not long since (chap. 1, 3, and chap. 3, 7), viz.: identity, connection, relation, and real existence, furnish us with them. 4. As for identity or diversity, we have as many evident propositions, as we have distinct ideas, for we can deny both, as in saying man is not a horse, red is not blue. Further the statement what is, is, is as evident as the statement a man is a man. Th. It is true, and I have already remarked that it is as evident to say ectheticaMy in particular A is A, as to say in 1080; Objections contre Descartes; and L...
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