Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Being and Nothingness' and 'Which Logic is the Right Logic?'

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28 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is either for demonstration, or for characterizing structures [Tharp]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Elementary logic is complete, but cannot capture mathematics [Tharp]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order logic isn't provable, but will express set-theory and classic problems [Tharp]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / b. Basic connectives
In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
The main quantifiers extend 'and' and 'or' to infinite domains [Tharp]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
There are at least five unorthodox quantifiers that could be used [Tharp]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp]
Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp]
5. Theory of Logic / K. Features of Logics / 3. Soundness
Soundness would seem to be an essential requirement of a proof procedure [Tharp]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Completeness and compactness together give axiomatizability [Tharp]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
If completeness fails there is no algorithm to list the valid formulas [Tharp]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Compactness is important for major theories which have infinitely many axioms [Tharp]
Compactness blocks infinite expansion, and admits non-standard models [Tharp]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
A complete logic has an effective enumeration of the valid formulas [Tharp]
Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
For Sartre there is only being for-itself, or being in-itself (which is beyond experience) [Sartre, by Daigle]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Appearances do not hide the essence; appearances are the essence [Sartre]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Sartre says consciousness is just directedness towards external objects [Sartre, by Rowlands]
18. Thought / C. Content / 1. Content
Sartre rejects mental content, and the idea that the mind has hidden inner features [Sartre, by Rowlands]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Man is a useless passion [Sartre]
Man is the desire to be God [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Sartre's freedom is not for whimsical action, but taking responsibility for our own values [Sartre, by Daigle]
22. Metaethics / B. Value / 2. Values / g. Love
Love is the demand to be loved [Sartre]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
23. Ethics / F. Existentialism / 3. Angst
Fear concerns the world, but 'anguish' comes from confronting my self [Sartre]
23. Ethics / F. Existentialism / 6. Authentic Self
Sincerity is not authenticity, because it only commits to one particular identity [Sartre, by Aho]
We flee from the anguish of freedom by seeing ourselves objectively, as determined [Sartre]