Combining Texts

All the ideas for 'Commentary on the Metaphysics', 'On the Principles of Indiscernibles' and 'Remarks on axiomatised set theory'

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9 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics

11193

Understanding begins with the notion of being and essence [Avicenna]

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

17879

Axiomatising set theory makes it all relative [Skolem]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17878

If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17880

Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

17881

Mathematician want performable operations, not propositions about objects [Skolem]

9. Objects / A. Existence of Objects / 5. Simples

11209

The simple's whatness is its very self [Avicenna]

9. Objects / C. Structure of Objects / 3. Matter of an Object

11204

The ultimate material of things has the unity of total formlessness [Avicenna]

9. Objects / D. Essence of Objects / 2. Types of Essence

15036

An essence can either be universal (in the mind) or singular (in concrete particulars) [Avicenna, by Panaccio]

28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof

2116	The concept of an existing thing must contain more than the concept of a non-existing thing [Leibniz]