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All the ideas for 'works', 'Causality and Properties' and 'A Tour through Mathematical Logic'

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80 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Derrida focuses on other philosophers, rather than on science [Derrida]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is just a linguistic display [Derrida]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to build foundations for thought [Derrida, by May]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy is necessarily metaphorical, and its writing is aesthetic [Derrida]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
One system has properties, powers, events, similarity and substance [Shoemaker]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Analysis aims at internal relationships, not reduction [Shoemaker]
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
Interpretations can be interpreted, so there is no original 'meaning' available [Derrida]
Hermeneutics blunts truth, by conforming it to the interpreter [Derrida, by Zimmermann,J]
Hermeneutics is hostile, trying to overcome the other person's difference [Derrida, by Zimmermann,J]
1. Philosophy / H. Continental Philosophy / 4. Linguistic Structuralism
Structuralism destroys awareness of dynamic meaning [Derrida]
1. Philosophy / H. Continental Philosophy / 6. Deconstruction
The idea of being as persistent presence, and meaning as conscious intelligibility, are self-destructive [Derrida, by Glendinning]
Sincerity can't be verified, so fiction infuses speech, and hence reality also [Derrida]
Sentences are contradictory, as they have opposite meanings in some contexts [Derrida]
We aim to explore the limits of expression (as in Mallarmé's poetry) [Derrida]
3. Truth / A. Truth Problems / 9. Rejecting Truth
Derrida says that all truth-talk is merely metaphor [Derrida, by Engel]
True thoughts are inaccessible, in the subconscious, prior to speech or writing [Derrida]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / b. Terminology of PL
A 'tautology' must include connectives [Wolf,RS]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / c. Derivation rules of PL
Deduction Theorem: T∪{P}|-Q, then T|-(P→Q), which justifies Conditional Proof [Wolf,RS]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / d. Universal quantifier ∀
Universal Generalization: If we prove P(x) with no special assumptions, we can conclude ∀xP(x) [Wolf,RS]
Universal Specification: ∀xP(x) implies P(t). True for all? Then true for an instance [Wolf,RS]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / e. Existential quantifier ∃
Existential Generalization (or 'proof by example'): if we can say P(t), then we can say something is P [Wolf,RS]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / e. Axiom of the Empty Set IV
Empty Set: ∃x∀y ¬(y∈x). The unique empty set exists [Wolf,RS]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
Comprehension Axiom: if a collection is clearly specified, it is a set [Wolf,RS]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
In first-order logic syntactic and semantic consequence (|- and |=) nicely coincide [Wolf,RS]
First-order logic is weakly complete (valid sentences are provable); we can't prove every sentence or its negation [Wolf,RS]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
'I' is the perfect name, because it denotes without description [Derrida]
Names have a subjective aspect, especially the role of our own name [Derrida]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
Even Kripke can't explain names; the word is the thing, and the thing is the word [Derrida]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory 'structures' have a 'universe', some 'relations', some 'functions', and some 'constants' [Wolf,RS]
Model theory uses sets to show that mathematical deduction fits mathematical truth [Wolf,RS]
First-order model theory rests on completeness, compactness, and the Löwenheim-Skolem-Tarski theorem [Wolf,RS]
Model theory reveals the structures of mathematics [Wolf,RS]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
An 'isomorphism' is a bijection that preserves all structural components [Wolf,RS]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
The LST Theorem is a serious limitation of first-order logic [Wolf,RS]
5. Theory of Logic / K. Features of Logics / 4. Completeness
If a theory is complete, only a more powerful language can strengthen it [Wolf,RS]
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
Most deductive logic (unlike ordinary reasoning) is 'monotonic' - we don't retract after new givens [Wolf,RS]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
An ordinal is an equivalence class of well-orderings, or a transitive set whose members are transitive [Wolf,RS]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Modern mathematics has unified all of its objects within set theory [Wolf,RS]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Formerly I said properties are individuated by essential causal powers and causing instantiation [Shoemaker, by Shoemaker]
8. Modes of Existence / B. Properties / 5. Natural Properties
Genuine properties are closely related to genuine changes [Shoemaker]
Properties must be essentially causal if we can know and speak about them [Shoemaker]
To ascertain genuine properties, examine the object directly [Shoemaker]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
We should abandon the idea that properties are the meanings of predicate expressions [Shoemaker]
Some truths are not because of a thing's properties, but because of the properties of related things [Shoemaker]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Things have powers in virtue of (which are entailed by) their properties [Shoemaker]
One power can come from different properties; a thing's powers come from its properties [Shoemaker]
Properties are functions producing powers, and powers are functions producing effects [Shoemaker]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Shoemaker says all genuine properties are dispositional [Shoemaker, by Ellis]
A causal theory of properties focuses on change, not (say) on abstract properties of numbers [Shoemaker]
'Square', 'round' and 'made of copper' show that not all properties are dispositional [Shoemaker]
The identity of a property concerns its causal powers [Shoemaker]
Properties are clusters of conditional powers [Shoemaker]
Could properties change without the powers changing, or powers change without the properties changing? [Shoemaker]
If properties are separated from causal powers, this invites total elimination [Shoemaker]
The notions of property and of causal power are parts of a single system of related concepts [Shoemaker]
Actually, properties are individuated by causes as well as effects [Shoemaker]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
Dispositional predicates ascribe powers, and the rest ascribe properties [Shoemaker]
8. Modes of Existence / D. Universals / 2. Need for Universals
Universals concern how things are, and how they could be [Shoemaker, by Bird]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Triangular and trilateral are coextensive, but different concepts; but powers and properties are the same [Shoemaker]
9. Objects / D. Essence of Objects / 15. Against Essentialism
There is no subset of properties which guarantee a thing's identity [Shoemaker]
10. Modality / B. Possibility / 1. Possibility
Possible difference across worlds depends on difference across time in the actual world [Shoemaker]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
'Conceivable' is either not-provably-false, or compatible with what we know? [Shoemaker]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
It is possible to conceive what is not possible [Shoemaker]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Grueness is not, unlike green and blue, associated with causal potential [Shoemaker]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Heidegger showed that passing time is the key to consciousness [Derrida]
18. Thought / A. Modes of Thought / 1. Thought
'Tacit theory' controls our thinking (which is why Freud is important) [Derrida]
19. Language / A. Nature of Meaning / 1. Meaning
Meanings depend on differences and contrasts [Derrida]
For Aristotle all proper nouns must have a single sense, which is the purpose of language [Derrida]
Capacity for repetitions is the hallmark of language [Derrida]
The sign is only conceivable as a movement between elusive presences [Derrida]
Writing functions even if the sender or the receiver are absent [Derrida, by Glendinning]
Madness and instability ('the demonic hyperbole') lurks in all language [Derrida]
19. Language / A. Nature of Meaning / 9. Ambiguity
'Dissemination' is opposed to polysemia, since that is irreducible, because of multiple understandings [Derrida, by Glendinning]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Words exist in 'spacing', so meanings are never synchronic except in writing [Derrida]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
The good is implicitly violent (against evil), so there is no pure good [Derrida]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
If causality is between events, there must be reference to the properties involved [Shoemaker]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
If causal laws describe causal potentialities, the same laws govern properties in all possible worlds [Shoemaker]
If properties are causal, then causal necessity is a species of logical necessity [Shoemaker]
If a world has different causal laws, it must have different properties [Shoemaker]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
It looks as if the immutability of the powers of a property imply essentiality [Shoemaker]