Combining Texts

All the ideas for 'works (all lost)', 'Cardinality, Counting and Equinumerosity' and 'Disputationes metaphysicae'

expand these ideas     |    start again     |     specify just one area for these texts

27 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
17453 The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
17457 A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17448 In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
17455 Is counting basically mindless, and independent of the cardinality involved? [Heck]
17456 Counting is the assignment of successively larger cardinal numbers to collections [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
17450 Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
17451 We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17459 Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17454 Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17458 Equinumerosity is not the same concept as one-one correspondence [Heck]
17449 We can understand cardinality without the idea of one-one correspondence [Heck]
8. Modes of Existence / B. Properties / 8. Properties as Modes
16665 There are entities, and then positive 'modes', modifying aspects outside the thing's essence [Suárez]
16666 A mode determines the state and character of a quantity, without adding to it [Suárez]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
16667 Substances are incomplete unless they have modes [Suárez, by Pasnau]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
17007 Forms must rule over faculties and accidents, and are the source of action and unity [Suárez]
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
16780 Partial forms of leaf and fruit are united in the whole form of the tree [Suárez]
16758 The best support for substantial forms is the co-ordinated unity of a natural being [Suárez]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
16743 We can get at the essential nature of 'quantity' by knowing bulk and extension [Suárez]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
16742 We only know essences through non-essential features, esp. those closest to the essence [Suárez]
9. Objects / F. Identity among Objects / 1. Concept of Identity
22143 Identity does not exclude possible or imagined difference [Suárez, by Boulter]
22144 Real Essential distinction: A and B are of different natural kinds [Suárez, by Boulter]
22146 Minor Real distinction: B needs A, but A doesn't need B [Suárez, by Boulter]
22145 Major Real distinction: A and B have independent existences [Suárez, by Boulter]
22147 Conceptual/Mental distinction: one thing can be conceived of in two different ways [Suárez, by Boulter]
22148 Modal distinction: A isn't B or its property, but still needs B [Suárez, by Boulter]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
22149 Scholastics assess possibility by what has actually happened in reality [Suárez, by Boulter]
29. Religion / B. Monotheistic Religion / 4. Christianity / c. Angels
16682 Other things could occupy the same location as an angel [Suárez]