Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'What Numbers Are' and 'Philosophical Implications of Mathematical logic'

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7 ideas

5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic

22329

Logic is highly general truths abstracted from reality [Russell, by Glock]

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

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

7. Existence / A. Nature of Existence / 5. Reason for Existence

19400

Possibles demand existence, so as many of them as possible must actually exist [Leibniz]

19401

God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]

10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds

19402

The actual universe is the richest composite of what is possible [Leibniz]

15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind

21569

It is good to generalise truths as much as possible [Russell]