Combining Texts

Ideas for 'Metaphysics', 'Begriffsschrift' and 'Morality as system of hypothetical imperatives'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts


28 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Frege has a judgement stroke (vertical, asserting or judging) and a content stroke (horizontal, expressing) [Frege, by Weiner]
The laws of logic are boundless, so we want the few whose power contains the others [Frege]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
In 1879 Frege developed second order logic [Frege, by Putnam]
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 / 1. Logical Form
Frege replaced Aristotle's subject/predicate form with function/argument form [Frege, by Weiner]
5. Theory of Logic / G. Quantification / 1. Quantification
A quantifier is a second-level predicate (which explains how it contributes to truth-conditions) [Frege, by George/Velleman]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
For Frege the variable ranges over all objects [Frege, by Tait]
Frege's domain for variables is all objects, but modern interpretations first fix the domain [Dummett on Frege]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Frege reduced most quantifiers to 'everything' combined with 'not' [Frege, by McCullogh]
Frege introduced quantifiers for generality [Frege, by Weiner]
5. Theory of Logic / H. Proof Systems / 1. Proof Systems
Proof theory began with Frege's definition of derivability [Frege, by Prawitz]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Frege produced axioms for logic, though that does not now seem the natural basis for logic [Frege, by Kaplan]
5. Theory of Logic / L. Paradox / 2. Aporiai
Aporia 4: Does metaphysics just investigate pure being, or also the characteristics of being? [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]
We must start with our puzzles, and progress by solving them, as they reveal the real difficulty [Aristotle]
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 3: Does one science investigate all being, or does each kind of being have a science? [Aristotle, by Politis]
Aporia 5: Do other things exist besides what is perceptible by the senses? [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 9: Is there one principle, or one kind of principle? [Aristotle, by Politis]
Aporia 8: Are there general kinds, or merely particulars? [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 14: Are ultimate causes of things potentialities, or must they be actual? [Aristotle, by Politis]
Aporia 15: Are the causes of things universals or particulars? [Aristotle, by Politis]