Combining Philosophers

All the ideas for Leon Horsten, Niccolo Machiavelli and William Lycan

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102 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the most general intellectual discipline [Horsten]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Maybe Ockham's Razor is a purely aesthetic principle [Lycan]
The Razor seems irrelevant for Meinongians, who allow absolutely everything to exist [Lycan]
2. Reason / D. Definition / 2. Aims of Definition
A definition should allow the defined term to be eliminated [Horsten]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
3. Truth / A. Truth Problems / 1. Truth
Semantic theories of truth seek models; axiomatic (syntactic) theories seek logical principles [Horsten]
Truth is a property, because the truth predicate has an extension [Horsten]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten]
3. Truth / A. Truth Problems / 5. Truth Bearers
Propositions have sentence-like structures, so it matters little which bears the truth [Horsten]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Modern correspondence is said to be with the facts, not with true propositions [Horsten]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
The correspondence 'theory' is too vague - about both 'correspondence' and 'facts' [Horsten]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
The coherence theory allows multiple coherent wholes, which could contradict one another [Horsten]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
The pragmatic theory of truth is relative; useful for group A can be useless for group B [Horsten]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Tarski's hierarchy lacks uniform truth, and depends on contingent factors [Horsten]
Tarski Bi-conditional: if you'll assert φ you'll assert φ-is-true - and also vice versa [Horsten]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
Semantic theories have a regress problem in describing truth in the languages for the models [Horsten]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Axiomatic approaches avoid limiting definitions to avoid the truth predicate, and limited sizes of models [Horsten]
Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten]
An axiomatic theory needs to be of maximal strength, while being natural and sound [Horsten]
'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten]
A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten]
The Naďve Theory takes the bi-conditionals as axioms, but it is inconsistent, and allows the Liar [Horsten]
Axiomatic theories take truth as primitive, and propose some laws of truth as axioms [Horsten]
By adding truth to Peano Arithmetic we increase its power, so truth has mathematical content! [Horsten]
3. Truth / G. Axiomatic Truth / 2. FS Truth Axioms
Friedman-Sheard theory keeps classical logic and aims for maximum strength [Horsten]
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
Kripke-Feferman has truth gaps, instead of classical logic, and aims for maximum strength [Horsten]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Inferential deflationism says truth has no essence because no unrestricted logic governs the concept [Horsten]
Deflationism skips definitions and models, and offers just accounts of basic laws of truth [Horsten]
Deflationism concerns the nature and role of truth, but not its laws [Horsten]
This deflationary account says truth has a role in generality, and in inference [Horsten]
Deflationism says truth isn't a topic on its own - it just concerns what is true [Horsten]
Deflation: instead of asserting a sentence, we can treat it as an object with the truth-property [Horsten]
4. Formal Logic / E. Nonclassical Logics / 1. Nonclassical Logics
Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Physicalism requires the naturalisation or rejection of set theory [Lycan]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Doubt is thrown on classical logic by the way it so easily produces the liar paradox [Horsten]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Singular terms refer, using proper names, definite descriptions, singular personal pronouns, demonstratives, etc. [Lycan]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
It is easier to imagine truth-value gaps (for the Liar, say) than for truth-value gluts (both T and F) [Horsten]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
The first incompleteness theorem means that consistency does not entail soundness [Horsten]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Strengthened Liar: 'this sentence is not true in any context' - in no context can this be evaluated [Horsten]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten]
Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Predicativism says mathematical definitions must not include the thing being defined [Horsten]
7. Existence / C. Structure of Existence / 2. Reduction
Institutions are not reducible as types, but they are as tokens [Lycan]
Types cannot be reduced, but levels of reduction are varied groupings of the same tokens [Lycan]
7. Existence / C. Structure of Existence / 3. Levels of Reality
One location may contain molecules, a metal strip, a key, an opener of doors, and a human tragedy [Lycan]
Biologists see many organic levels, 'abstract' if seen from below, 'structural' if seen from above [Lycan]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
We may believe in atomic facts, but surely not complex disjunctive ones? [Horsten]
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten]
If 'Italy is large' lacks truth, so must 'Italy is not large'; but classical logic says it's large or it isn't [Horsten]
7. Existence / E. Categories / 3. Proposed Categories
I see the 'role'/'occupant' distinction as fundamental to metaphysics [Lycan]
9. Objects / A. Existence of Objects / 4. Impossible objects
Maybe non-existent objects are sets of properties [Lycan]
9. Objects / F. Identity among Objects / 6. Identity between Objects
'Lightning is electric discharge' and 'Phosphorus is Venus' are synthetic a posteriori identities [Lycan]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Treating possible worlds as mental needs more actual mental events [Lycan]
Possible worlds must be made of intensional objects like propositions or properties [Lycan]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / c. Worlds as propositions
If 'worlds' are sentences, and possibility their consistency, consistency may rely on possibility [Lycan]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
I think greenness is a complex microphysical property of green objects [Lycan]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Intentionality comes in degrees [Lycan]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Teleological views allow for false intentional content, unlike causal and nomological theories [Lycan]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
Pain is composed of urges, desires, impulses etc, at different levels of abstraction [Lycan]
The right 'level' for qualia is uncertain, though top (behaviourism) and bottom (particles) are false [Lycan]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
If energy in the brain disappears into thin air, this breaches physical conservation laws [Lycan]
In lower animals, psychology is continuous with chemistry, and humans are continuous with animals [Lycan]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Two behaviourists meet. The first says,"You're fine; how am I?" [Lycan]
17. Mind and Body / C. Functionalism / 1. Functionalism
If functionalism focuses on folk psychology, it ignores lower levels of function [Lycan]
Functionalism must not be too abstract to allow inverted spectrum, or so structural that it becomes chauvinistic [Lycan]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
Functionalism has three linked levels: physical, functional, and mental [Lycan]
The distinction between software and hardware is not clear in computing [Lycan]
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
Mental types are a subclass of teleological types at a high level of functional abstraction [Lycan]
Teleological characterisations shade off smoothly into brutely physical ones [Lycan]
A mental state is a functional realisation of a brain state when it serves the purpose of the organism [Lycan]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Identity theory is functionalism, but located at the lowest level of abstraction [Lycan]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
We reduce the mind through homuncular groups, described abstractly by purpose [Lycan]
Teleological functionalism helps us to understand psycho-biological laws [Lycan]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
A Martian may exhibit human-like behaviour while having very different sensations [Lycan]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
The truth conditions theory sees meaning as representation [Lycan]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Meaning must be known before we can consider verification [Lycan]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Could I successfully use an expression, without actually understanding it? [Lycan]
It is hard to state a rule of use for a proper name [Lycan]
19. Language / C. Assigning Meanings / 1. Syntax
A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth conditions will come out the same for sentences with 'renate' or 'cordate' [Lycan]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
A sentence's truth conditions is the set of possible worlds in which the sentence is true [Lycan]
Possible worlds explain aspects of meaning neatly - entailment, for example, is the subset relation [Lycan]
23. Ethics / B. Contract Ethics / 3. Promise Keeping
If men are good you should keep promises, but they aren't, so you needn't [Machiavelli]
24. Political Theory / B. Nature of a State / 3. Constitutions
The principle foundations of all states are good laws and good armies [Machiavelli]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
People are vengeful, so be generous to them, or destroy them [Machiavelli]
To retain a conquered state, wipe out the ruling family, and preserve everything else [Machiavelli]
A sensible conqueror does all his harmful deeds immediately, because people soon forget [Machiavelli]
25. Social Practice / E. Policies / 1. War / a. Just wars
A desire to conquer, and men who do it, are always praised, or not blamed [Machiavelli]
25. Social Practice / E. Policies / 2. Religion in Society
Machiavelli emancipated politics from religion [Machiavelli, by Watson]
All legislators invoke God in support of extraordinary laws, because their justification is not obvious [Machiavelli]
Rulers should preserve the foundations of religion, to ensure good behaviour and unity [Machiavelli]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
We need a notion of teleology that comes in degrees [Lycan]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
People are trying to explain biological teleology in naturalistic causal terms [Lycan]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
'Physical' means either figuring in physics descriptions, or just located in space-time [Lycan]