Combining Texts

Ideas for 'Physiologia', 'Axiomatic Theories of Truth' and 'Sets and Numbers'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

16333

The underestimated costs of giving up classical logic are found in mathematical reasoning [Halbach]

5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic

16310

A theory is some formulae and all of their consequences [Halbach]

5. Theory of Logic / K. Features of Logics / 3. Soundness

16342

You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [Halbach]

16341

Normally we only endorse a theory if we believe it to be sound [Halbach]

16344

Soundness must involve truth; the soundness of PA certainly needs it [Halbach]

5. Theory of Logic / L. Paradox / 1. Paradox

16347

Many new paradoxes may await us when we study interactions between frameworks [Halbach]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox

16336

The liar paradox applies truth to a negated truth (but the conditional will serve equally) [Halbach]