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All the ideas for 'Walking the Tightrope of Reason', 'The Tarskian Turn' and 'Metaphysical Themes 1274-1671'

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121 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
Philosophy consists of choosing between Plato, Aristotle and Democritus [Pasnau]
Original philosophers invariably seek inspiration from past thinkers [Pasnau]
1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / b. Early medieval philosophy
The commentaries of Averroes were the leading guide to Aristotle [Pasnau]
Modernity begins in the late 12th century, with Averroes's commentaries on Aristotle [Pasnau]
1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / c. Later medieval philosophy
Once accidents were seen as real, 'Categories' became the major text for ontology [Pasnau]
In 1347, the Church effectively stopped philosophy for the next 300 years [Pasnau]
1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / d. Renaissance philosophy
After c.1450 all of Plato was available. Before that, only the first half of 'Timaeus' was known [Pasnau]
Renaissance Platonism is peripheral [Pasnau]
Plato only made an impact locally in 15th century Italy [Pasnau]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / b. Seventeenth century philosophy
Philosophy could easily have died in 17th century, if it weren't for Descartes [Pasnau]
The 17th century is a metaphysical train wreck [Pasnau]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the most general intellectual discipline [Horsten]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy may never find foundations, and may undermine our lives in the process [Fogelin]
2. Reason / A. Nature of Reason / 1. On Reason
Rationality is threatened by fear of inconsistency, illusions of absolutes or relativism, and doubt [Fogelin]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Humans may never be able to attain a world view which is both rich and consistent [Fogelin]
A game can be played, despite having inconsistent rules [Fogelin]
2. Reason / B. Laws of Thought / 1. Laws of Thought
The law of noncontradiction is traditionally the most basic principle of rationality [Fogelin]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
The law of noncontradiction makes the distinction between asserting something and denying it [Fogelin]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Anti-Razor: if you can't account for a truth, keep positing things until you can [Pasnau]
2. Reason / D. Definition / 2. Aims of Definition
A definition should allow the defined term to be eliminated [Horsten]
2. Reason / E. Argument / 3. Analogy
Legal reasoning is analogical, not deductive [Fogelin]
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]
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 / 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 / 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 / 6. Mathematics as Set Theory / a. Mathematics is set theory
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 / 1. Grounding / a. Nature of grounding
Priority was a major topic of dispute for scholastics [Pasnau]
7. Existence / C. Structure of Existence / 8. Stuff / b. Mixtures
In mixtures, the four elements ceased to exist, replaced by a mixed body with a form [Pasnau]
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]
8. Modes of Existence / B. Properties / 3. Types of Properties
17th C qualities are either microphysical, or phenomenal, or powers [Pasnau]
8. Modes of Existence / B. Properties / 6. Categorical Properties
17th century authors only recognised categorical properties, never dispositions [Pasnau]
8. Modes of Existence / B. Properties / 8. Properties as Modes
The biggest question for scholastics is whether properties are real, or modes of substances [Pasnau]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
There is no centralised power, but we still need essence for a metaphysical understanding [Pasnau]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Instead of adding Aristotelian forms to physical stuff, one could add dispositions [Pasnau]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
Scholastics reject dispositions, because they are not actual, as forms require [Pasnau]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Scholastics say there is a genuine thing if it is 'separable' [Pasnau]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
If you reject essences, questions of individuation become extremely difficult [Pasnau]
Scholastics thought Quantity could be the principle of individuation [Pasnau]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Corpuscularianism promised a decent account of substance [Pasnau]
Corpuscularian critics of scholasticism say only substances exist [Pasnau]
Scholastics wanted to treat Aristotelianism as physics, rather than as metaphysics [Pasnau]
If crowds are things at all, they seem to be Substances, since they bear properties [Pasnau]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Scholastics use 'substantia' for thick concrete entities, and for thin metaphysical ones [Pasnau]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
For corpuscularians, a substance is just its integral parts [Pasnau]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
If clay survives destruction of the statue, the statue wasn't a substance, but a mere accident [Pasnau]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Corpuscularianism rejected not only form, but also the dependence of matter on form [Pasnau]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
Hylomorphism may not be a rival to science, but an abstract account of unity and endurance [Pasnau]
9. Objects / C. Structure of Objects / 2. Hylomorphism / c. Form as causal
Hylomorphism declined because scholastics made it into a testable physical theory [Pasnau]
Scholastics made forms substantial, in a way unintended by Aristotle [Pasnau]
Scholastics began to see substantial form more as Aristotle's 'efficient' cause [Pasnau]
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
Aquinas says a substance has one form; Scotists say it has many forms [Pasnau]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
Scholastic Quantity either gives a body parts, or spreads them out in a unified way [Pasnau]
9. Objects / C. Structure of Objects / 7. Substratum
There may be different types of substrate, or temporary substrates [Pasnau]
A substratum can't be 'bare', because it has a job to do [Pasnau]
If a substrate gives causal support for change, quite a lot of the ingredients must endure [Pasnau]
A substrate may be 'prime matter', which endures through every change [Pasnau]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Aristotelians deny that all necessary properties are essential [Pasnau]
9. Objects / E. Objects over Time / 6. Successive Things
Typical successive things are time and motion [Pasnau]
9. Objects / E. Objects over Time / 10. Beginning of an Object
Weak ex nihilo says it all comes from something; strong version says the old must partly endure [Pasnau]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
Conventions can only work if they are based on something non-conventional [Fogelin]
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]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
My view is 'circumspect rationalism' - that only our intellect can comprehend the world [Fogelin]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
Knowledge is legitimate only if all relevant defeaters have been eliminated [Fogelin]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
For coherentists, circularity is acceptable if the circle is large, rich and coherent [Fogelin]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
A rule of justification might be: don't raise the level of scrutiny without a good reason [Fogelin]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Scepticism is cartesian (sceptical scenarios), or Humean (future), or Pyrrhonian (suspend belief) [Fogelin]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Scepticism deals in remote possibilities that are ineliminable and set the standard very high [Fogelin]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Radical perspectivism replaces Kant's necessary scheme with many different schemes [Fogelin]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Essences must explain, so we can infer them causally from the accidents [Pasnau]
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
We are also irrational, with a unique ability to believe in bizarre self-created fictions [Fogelin]
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]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
Critics must be causally entangled with their subject matter [Fogelin]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The word 'beautiful', when deprived of context, is nearly contentless [Fogelin]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
Saying 'It's all a matter to taste' ignores the properties of the object discussed [Fogelin]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Cynics are committed to morality, but disappointed or disgusted by human failings [Fogelin]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Deterrence, prevention, rehabilitation and retribution can come into conflict in punishments [Fogelin]
Retributivists say a crime can be 'paid for'; deterrentists still worry about potential victims [Fogelin]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Atomists say causation is mechanical collisions, and all true qualities are microscopic [Pasnau]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
In the 17th C matter became body, and was then studied by science [Pasnau]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
Atomism is the commonest version of corpuscularianism, but isn't required by it [Pasnau]
If there are just arrangements of corpuscles, where are the boundaries between substances? [Pasnau]
26. Natural Theory / C. Causation / 2. Types of cause
Scholastic causation is by changes in the primary qualities of hot, cold, wet, dry [Pasnau]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Substantial forms were a step towards scientific essentialism [Pasnau]
27. Natural Reality / E. Cosmology / 3. The Beginning
Scholastic authors agree that matter was created by God, out of nothing [Pasnau]
29. Religion / B. Monotheistic Religion / 4. Christianity / b. Transubstantiation
Transubstantion says accidents of bread and wine don't inhere in the substance [Pasnau]