Combining Texts

All the ideas for 'Being and Nothingness', 'Hilbert's Programme' and 'Modal Logics and Philosophy'

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29 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Propositional logic handles negation, disjunction, conjunction; predicate logic adds quantifiers, predicates, relations [Girle]
There are three axiom schemas for propositional logic [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / a. Symbols of PL
Proposition logic has definitions for its three operators: or, and, and identical [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axiom systems of logic contain axioms, inference rules, and definitions of proof and theorems [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
There are seven modalities in S4, each with its negation [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
◊p → □◊p is the hallmark of S5 [Girle]
S5 has just six modalities, and all strings can be reduced to those [Girle]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Possible worlds logics use true-in-a-world rather than true [Girle]
Modal logic has four basic modal negation equivalences [Girle]
Modal logics were studied in terms of axioms, but now possible worlds semantics is added [Girle]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Necessary implication is called 'strict implication'; if successful, it is called 'entailment' [Girle]
5. Theory of Logic / H. Proof Systems / 5. Tableau Proof
If an argument is invalid, a truth tree will indicate a counter-example [Girle]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
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]
10. Modality / A. Necessity / 3. Types of Necessity
Analytic truths are divided into logically and conceptually necessary [Girle]
10. Modality / B. Possibility / 1. Possibility
Possibilities can be logical, theoretical, physical, economic or human [Girle]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A world has 'access' to a world it generates, which is important in possible worlds semantics [Girle]
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 / 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]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]