Combining Texts

All the ideas for 'Definitiones cogitationesque metaphysicae', 'On boundary numbers and domains of sets' and 'Prologue to Ordinatio'

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17832

Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII

13028

Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]

5. Theory of Logic / L. Paradox / 3. Antinomies

17626

The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]

9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined

12712

Substance is that which can act [Leibniz]

11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs

9100	Our intellect only assents to what we believe to be true [William of Ockham]

14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation

12737

Nature can be fully explained by final causes alone, or by efficient causes alone [Leibniz]

15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind

9101	Abstractive cognition knows universals abstracted from many singulars [William of Ockham]