Combining Texts

Ideas for 'Parmenides', 'Metaphysics' and 'Axiomatic Theories of Truth'

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26 ideas

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
The underestimated costs of giving up classical logic are found in mathematical reasoning [Halbach]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
For Aristotle bivalence is a feature of reality [Aristotle, by Boulter]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
A theory is some formulae and all of their consequences [Halbach]
5. Theory of Logic / K. Features of Logics / 3. Soundness
You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [Halbach]
Normally we only endorse a theory if we believe it to be sound [Halbach]
Soundness must involve truth; the soundness of PA certainly needs it [Halbach]
5. Theory of Logic / L. Paradox / 1. Paradox
Many new paradoxes may await us when we study interactions between frameworks [Halbach]
5. Theory of Logic / L. Paradox / 2. Aporiai
Aporia 3: Does one science investigate all being, or does each kind of being have a science? [Aristotle, by Politis]
We must start with our puzzles, and progress by solving them, as they reveal the real difficulty [Aristotle]
Aporia 4: Does metaphysics just investigate pure being, or also the characteristics of being? [Aristotle, by Politis]
Aporia 1: is there one science of explanation, or many? [Aristotle, by Politis]
Aporia 2: Does one science investigate both ultimate and basic principles of being? [Aristotle, by Politis]
Aporia 5: Do other things exist besides what is perceptible by the senses? [Aristotle, by Politis]
Aporia 9: Is there one principle, or one kind of principle? [Aristotle, by Politis]
Aporia 6: Are the basic principles of a thing the kinds to which it belongs, or its components? [Aristotle, by Politis]
Aporia 7: Is a thing's kind the most general one, or the most specific one? [Aristotle, by Politis]
Aporia 8: Are there general kinds, or merely particulars? [Aristotle, by Politis]
Aporia 10: Do perishables and imperishables have the same principle? [Aristotle, by Politis]
Aporia 11: Are primary being and unity distinct, or only in the things that are? [Aristotle, by Politis]
Aporia 12: Do mathematical entities exist independently, or only in objects? [Aristotle, by Politis]
Aporia 13: Are there kinds, as well as particulars and mathematical entities? [Aristotle, by Politis]
Aporia 15: Are the causes of things universals or particulars? [Aristotle, by Politis]
Aporia 14: Are ultimate causes of things potentialities, or must they be actual? [Aristotle, by Politis]
5. Theory of Logic / L. Paradox / 3. Antinomies
Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
The liar paradox applies truth to a negated truth (but the conditional will serve equally) [Halbach]