Combining Texts

All the ideas for 'The Inessential Indexical', 'Cardinality, Counting and Equinumerosity' and 'Identity and Necessity'

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38 ideas

2. Reason / E. Argument / 1. Argument
A 'teepee' argument has several mutually supporting planks to it [Cappelen/Dever]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
We may fix the reference of 'Cicero' by a description, but thereafter the name is rigid [Kripke]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
The function of names is simply to refer [Kripke]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
Is counting basically mindless, and independent of the cardinality involved? [Heck]
Counting is the assignment of successively larger cardinal numbers to collections [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Equinumerosity is not the same concept as one-one correspondence [Heck]
We can understand cardinality without the idea of one-one correspondence [Heck]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
It is necessary that this table is not made of ice, but we don't know it a priori [Kripke]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
A 'rigid designator' designates the same object in all possible worlds [Kripke]
We cannot say that Nixon might have been a different man from the one he actually was [Kripke]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
Modal statements about this table never refer to counterparts; that confuses epistemology and metaphysics [Kripke]
16. Persons / C. Self-Awareness / 2. Knowing the Self
Prioprioception focuses on your body parts, not on your self, or indexicality [Cappelen/Dever]
We can acquire self-knowledge with mirrors, not just with proprioception and introspection [Cappelen/Dever]
Proprioception is only immune from error if you are certain that it represents the agent [Cappelen/Dever]
17. Mind and Body / A. Mind-Body Dualism / 7. Zombies
Identity theorists must deny that pains can be imagined without brain states [Kripke]
17. Mind and Body / C. Functionalism / 1. Functionalism
Folk Functionalism is a Ramsification of our folk psychology [Cappelen/Dever]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / e. Modal argument
Pain, unlike heat, is picked out by an essential property [Kripke]
18. Thought / A. Modes of Thought / 9. Indexical Thought
It is assumed that indexical content is needed to represent the perspective of perception [Cappelen/Dever]
All information is objective, and purely indexical information is not much use [Cappelen/Dever]
If some of our thought is tied to its context, it will be hard to communicate it [Cappelen/Dever]
You don't remember your house interior just from an experienced viewpoint [Cappelen/Dever]
Our beliefs and desires are not organised around ourselves, but around the world [Cappelen/Dever]
Indexicality is not significantly connected to agency [Cappelen/Dever]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregeans can't agree on what 'senses' are [Cappelen/Dever]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
Possible worlds accounts of content are notoriously coarse-grained [Cappelen/Dever]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
Indexicals are just non-constant in meaning, and don't involve any special concepts [Cappelen/Dever]
Fregeans say 'I' differs in reference, so it must also differ in sense [Cappelen/Dever]
All indexicals can be expressed non-indexically [Cappelen/Dever]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The basic Kaplan view is that there is truth-conditional content, and contextual character [Cappelen/Dever]
It is proposed that a huge range of linguistic items are context-sensitive [Cappelen/Dever]
20. Action / C. Motives for Action / 2. Acting on Beliefs / b. Action cognitivism
We deny that action involves some special class of beliefs [Cappelen/Dever]