Combining Texts

All the ideas for 'Quaestiones de Potentia Dei', 'Barcan Formulae' and 'Constructibility and Mathematical Existence'

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

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6 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

15380

Barcan:nothing comes into existence; Converse:nothing goes out; Both:domain is unchanging [Vervloesem]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

8758	We could talk of open sentences, instead of sets [Chihara, by Shapiro]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory

10265

Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]

8759	We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

10264

Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]

9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates

17555

'One' can mean undivided and not a multitude, or it can add measurement, giving number [Aquinas]