Combining Texts

All the ideas for 'works', 'What is a Law of Nature?' and 'Vagueness'

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77 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
If you know what it is, investigation is pointless. If you don't, investigation is impossible [Armstrong]
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth and falsity apply to suppositions as well as to assertions [Williamson]
3. Truth / A. Truth Problems / 7. Falsehood
True and false are not symmetrical; false is more complex, involving negation [Williamson]
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Many-valued logics don't solve vagueness; its presence at the meta-level is ignored [Williamson]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Formal semantics defines validity as truth preserved in every model [Williamson]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
'Bivalence' is the meta-linguistic principle that 'A' in the object language is true or false [Williamson]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded Middle is 'A or not A' in the object language [Williamson]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Or-elimination is 'Argument by Cases'; it shows how to derive C from 'A or B' [Williamson]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
A sorites stops when it collides with an opposite sorites [Williamson]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Negative facts are supervenient on positive facts, suggesting they are positive facts [Armstrong]
7. Existence / D. Theories of Reality / 10. Vagueness / a. Problem of vagueness
When bivalence is rejected because of vagueness, we lose classical logic [Williamson]
Vagueness undermines the stable references needed by logic [Williamson]
A vague term can refer to very precise elements [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
Equally fuzzy objects can be identical, so fuzziness doesn't entail vagueness [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Vagueness is epistemic. Statements are true or false, but we often don't know which [Williamson]
If a heap has a real boundary, omniscient speakers would agree where it is [Williamson]
The epistemic view says that the essence of vagueness is ignorance [Williamson]
If there is a true borderline of which we are ignorant, this drives a wedge between meaning and use [Williamson]
Vagueness in a concept is its indiscriminability from other possible concepts [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
The vagueness of 'heap' can remain even when the context is fixed [Williamson]
The 'nihilist' view of vagueness says that 'heap' is not a legitimate concept [Williamson]
We can say propositions are bivalent, but vague utterances don't express a proposition [Williamson]
If the vague 'TW is thin' says nothing, what does 'TW is thin if his perfect twin is thin' say? [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / e. Higher-order vagueness
Asking when someone is 'clearly' old is higher-order vagueness [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
Supervaluation keeps classical logic, but changes the truth in classical semantics [Williamson]
You can't give a precise description of a language which is intrinsically vague [Williamson]
Supervaluation assigns truth when all the facts are respected [Williamson]
Supervaluation has excluded middle but not bivalence; 'A or not-A' is true, even when A is undecided [Williamson]
Truth-functionality for compound statements fails in supervaluation [Williamson]
Supervaluationism defines 'supertruth', but neglects it when defining 'valid' [Williamson]
Supervaluation adds a 'definitely' operator to classical logic [Williamson]
Supervaluationism cannot eliminate higher-order vagueness [Williamson]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
Nothing is genuinely related to itself [Armstrong]
8. Modes of Existence / B. Properties / 1. Nature of Properties
All instances of some property are strictly identical [Armstrong]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Armstrong holds that all basic properties are categorical [Armstrong, by Ellis]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Actualism means that ontology cannot contain what is merely physically possible [Armstrong]
Dispositions exist, but their truth-makers are actual or categorical properties [Armstrong]
If everything is powers there is a vicious regress, as powers are defined by more powers [Armstrong]
8. Modes of Existence / D. Universals / 1. Universals
Universals are just the repeatable features of a world [Armstrong]
8. Modes of Existence / D. Universals / 2. Need for Universals
Realist regularity theories of laws need universals, to pick out the same phenomena [Armstrong]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Past, present and future must be equally real if universals are instantiated [Armstrong]
Universals are abstractions from their particular instances [Armstrong, by Lewis]
Universals are abstractions from states of affairs [Armstrong]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalists suspect that properties etc are our projections, and could have been different [Williamson]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
It is likely that particulars can be individuated by unique conjunctions of properties [Armstrong]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
If fuzzy edges are fine, then why not fuzzy temporal, modal or mereological boundaries? [Williamson]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
A river is not just event; it needs actual and counterfactual boundaries [Williamson]
9. Objects / F. Identity among Objects / 5. Self-Identity
The identity of a thing with itself can be ruled out as a pseudo-property [Armstrong]
10. Modality / B. Possibility / 5. Contingency
The necessary/contingent distinction may need to recognise possibilities as real [Armstrong]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
We can't infer metaphysical necessities to be a priori knowable - or indeed knowable in any way [Williamson]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
We have inexact knowledge when we include margins of error [Williamson]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Knowing you know (KK) is usually denied if the knowledge concept is missing, or not considered [Williamson]
14. Science / C. Induction / 3. Limits of Induction
Induction aims at 'all Fs', but abduction aims at hidden or theoretical entities [Armstrong]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Science suggests that the predicate 'grue' is not a genuine single universal [Armstrong]
Unlike 'green', the 'grue' predicate involves a time and a change [Armstrong]
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
The raven paradox has three disjuncts, confirmed by confirming any one of them [Armstrong]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
A good reason for something (the smoke) is not an explanation of it (the fire) [Armstrong]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
To explain observations by a regular law is to explain the observations by the observations [Armstrong]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
Best explanations explain the most by means of the least [Armstrong]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
To know, believe, hope or fear, one must grasp the thought, but not when you fail to do them [Williamson]
18. Thought / D. Concepts / 4. Structure of Concepts / h. Family resemblance
'Blue' is not a family resemblance, because all the blues resemble in some respect [Williamson]
18. Thought / E. Abstraction / 1. Abstract Thought
Each subject has an appropriate level of abstraction [Armstrong]
19. Language / B. Reference / 1. Reference theories
References to the 'greatest prime number' have no reference, but are meaningful [Williamson]
19. Language / C. Assigning Meanings / 2. Semantics
The 't' and 'f' of formal semantics has no philosophical interest, and may not refer to true and false [Williamson]
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
It is known that there is a cognitive loss in identifying propositions with possible worlds [Williamson]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
We can't deduce the phenomena from the One [Armstrong]
26. Natural Theory / C. Causation / 2. Types of cause
Absences might be effects, but surely not causes? [Armstrong]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
A universe couldn't consist of mere laws [Armstrong]
Science depends on laws of nature to study unobserved times and spaces [Armstrong]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Oaken conditional laws, Iron universal laws, and Steel necessary laws [Armstrong, by PG]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
Newton's First Law refers to bodies not acted upon by a force, but there may be no such body [Armstrong]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Regularities are lawful if a second-order universal unites two first-order universals [Armstrong, by Lewis]
A naive regularity view says if it never occurs then it is impossible [Armstrong]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
The laws of nature link properties with properties [Armstrong]
Rather than take necessitation between universals as primitive, just make laws primitive [Maudlin on Armstrong]
Armstrong has an unclear notion of contingent necessitation, which can't necessitate anything [Bird on Armstrong]