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All the ideas for 'Intensional Logic', 'Laws of Nature' and 'Vagueness'

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75 ideas

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 / A. Syllogistic Logic / 2. Syllogistic Logic
The Square of Opposition has two contradictory pairs, one contrary pair, and one sub-contrary pair [Harré]
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]
4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
If terms change their designations in different states, they are functions from states to objects [Fitting]
Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]
4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic
Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]
4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics
Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Classical logic is deliberately extensional, in order to model mathematics [Fitting]
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 / F. Referring in Logic / 3. Property (λ-) Abstraction
λ-abstraction disambiguates the scope of modal operators [Fitting]
5. Theory of Logic / G. Quantification / 1. Quantification
Traditional quantifiers combine ordinary language generality and ontology assumptions [Harré]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Some quantifiers, such as 'any', rule out any notion of order within their range [Harré]
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 / 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 / B. Properties / 4. Intrinsic Properties
Scientific properties are not observed qualities, but the dispositions which create them [Harré]
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 / 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]
10. Modality / A. Necessity / 7. Natural Necessity
Laws of nature remain the same through any conditions, if the underlying mechanisms are unchanged [Harré]
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]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
Definite descriptions pick out different objects in different possible worlds [Fitting]
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 / A. Basis of Science / 1. Observation
In physical sciences particular observations are ordered, but in biology only the classes are ordered [Harré]
14. Science / A. Basis of Science / 3. Experiment
Reports of experiments eliminate the experimenter, and present results as the behaviour of nature [Harré]
14. Science / A. Basis of Science / 5. Anomalies
We can save laws from counter-instances by treating the latter as analytic definitions [Harré]
14. Science / B. Scientific Theories / 1. Scientific Theory
Since there are three different dimensions for generalising laws, no one system of logic can cover them [Harré]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
'Grue' introduces a new causal hypothesis - that emeralds can change colour [Harré]
The grue problem shows that natural kinds are central to science [Harré]
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
It is because ravens are birds that their species and their colour might be connected [Harré]
Non-black non-ravens just aren't part of the presuppositions of 'all ravens are black' [Harré]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
The necessity of Newton's First Law derives from the nature of material things, not from a mechanism [Harré]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation idealises all of a thing's properties, but abstraction leaves some of them out [Harré]
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]
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 / B. Natural Kinds / 1. Natural Kinds
Science rests on the principle that nature is a hierarchy of natural kinds [Harré]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Classification is just as important as laws in natural science [Harré]
Newton's First Law cannot be demonstrated experimentally, as that needs absence of external forces [Harré]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Laws can come from data, from theory, from imagination and concepts, or from procedures [Harré]
Are laws of nature about events, or types and universals, or dispositions, or all three? [Harré]
Are laws about what has or might happen, or do they also cover all the possibilities? [Harré]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
Maybe laws of nature are just relations between properties? [Harré]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
We take it that only necessary happenings could be laws [Harré]
Laws describe abstract idealisations, not the actual mess of nature [Harré]
Must laws of nature be universal, or could they be local? [Harré]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Laws of nature state necessary connections of things, events and properties, based on models of mechanisms [Harré]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
In counterfactuals we keep substances constant, and imagine new situations for them [Harré]