Combining Texts

All the ideas for 'Intensional Logic', 'Explanation - Opening Address' and 'The Limits of Contingency'

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30 ideas

2. Reason / A. Nature of Reason / 6. Coherence
Coherence is consilience, simplicity, analogy, and fitting into a web of belief [Smart]
We need comprehensiveness, as well as self-coherence [Smart]
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]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing (with Extensionality) guarantees an infinity of sets, just from a single element [Rosen]
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 / F. Referring in Logic / 3. Property (λ-) Abstraction
λ-abstraction disambiguates the scope of modal operators [Fitting]
9. Objects / A. Existence of Objects / 4. Impossible objects
A Meinongian principle might say that there is an object for any modest class of properties [Rosen]
10. Modality / A. Necessity / 5. Metaphysical Necessity
'Metaphysical' modality is the one that makes the necessity or contingency of laws of nature interesting [Rosen]
Metaphysical necessity is absolute and universal; metaphysical possibility is very tolerant [Rosen]
Standard Metaphysical Necessity: P holds wherever the actual form of the world holds [Rosen]
Sets, universals and aggregates may be metaphysically necessary in one sense, but not another [Rosen]
Non-Standard Metaphysical Necessity: when ¬P is incompatible with the nature of things [Rosen]
10. Modality / A. Necessity / 6. Logical Necessity
Something may be necessary because of logic, but is that therefore a special sort of necessity? [Rosen]
10. Modality / B. Possibility / 3. Combinatorial possibility
Combinatorial theories of possibility assume the principles of combination don't change across worlds [Rosen]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
A proposition is 'correctly' conceivable if an ominiscient being could conceive it [Rosen]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
Definite descriptions pick out different objects in different possible worlds [Fitting]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
I simply reject evidence, if it is totally contrary to my web of belief [Smart]
14. Science / D. Explanation / 1. Explanation / c. Direction of explanation
The height of a flagpole could be fixed by its angle of shadow, but that would be very unusual [Smart]
Universe expansion explains the red shift, but not vice versa [Smart]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
Explanations are bad by fitting badly with a web of beliefs, or fitting well into a bad web [Smart]
Deducing from laws is one possible way to achieve a coherent explanation [Smart]
Explanation of a fact is fitting it into a system of beliefs [Smart]
14. Science / D. Explanation / 2. Types of Explanation / d. Consilience
An explanation is better if it also explains phenomena from a different field [Smart]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
If scientific explanation is causal, that rules out mathematical explanation [Smart]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Scientific explanation tends to reduce things to the unfamiliar (not the familiar) [Smart]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
The MRL view says laws are the theorems of the simplest and strongest account of the world [Rosen]
27. Natural Reality / B. Modern Physics / 1. Relativity / b. General relativity
Unlike Newton, Einstein's general theory explains the perihelion of Mercury [Smart]