Combining Texts

All the ideas for 'Necessary Truth', 'Intro to III: Quantifiers' and 'Remarks on the Foundations of Mathematics'

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5 ideas

3. Truth / H. Deflationary Truth / 1. Redundant Truth
'It is true that this follows' means simply: this follows [Wittgenstein]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional universal quantification retains truth for substitution of terms of the same type [Jacquette]
Nominalists like substitutional quantification to avoid the metaphysics of objects [Jacquette]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Two and one making three has the necessity of logical inference [Wittgenstein]
10. Modality / A. Necessity / 11. Denial of Necessity
There is no necessity higher than natural necessity, and that is just regularity [Quine]