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All the ideas for 'Frege's Theory of Numbers', 'Varieties of Causation' and 'works'

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16 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Super-ordinate disciplines give laws or principles; subordinate disciplines give concrete cases [Peirce, by Atkin]
     Full Idea: In Peirce's system, a super-ordinate discipline provides general laws or principles for subordinate disciplines, which in turn provide concrete examples of those general laws.
     From: report of Charles Sanders Peirce (works [1892]) by Albert Atkin - Peirce 1 'System'
     A reaction: Does he really mean that subordinate disciplines have no principles or laws? That can't be right.
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Pragmatic 'truth' is a term to cover the many varied aims of enquiry [Peirce, by Misak]
     Full Idea: In Peirce's naturalist view of truth, it is a catch-all for the particular local aims of enquiry - empirical adequacy, predictive power, coherence, simplicity, elegance, explanatory power, a reliable guide to action, fruitfulness, great understanding.
     From: report of Charles Sanders Peirce (works [1892]) by Cheryl Misak - Pragmatism and Deflationism 1
     A reaction: The aims I cited in my thesis on explanation. One given, for me, is that truth is an ideal, which may or may not be attainable, to varying degrees. It is just what thinking aims at. I suspect, though, that these listed items have one thing in common.
Peirce did not think a belief was true if it was useful [Peirce, by Misak]
     Full Idea: Peirce was not in the slightest bit tempted by the thought that a belief is true if it is useful.
     From: report of Charles Sanders Peirce (works [1892]) by Cheryl Misak - Pragmatism and Deflationism 2
     A reaction: All students of the pragmatic theory of truth should start with this idea, because it rejects the caricature view of pragmatic truth, a view which is easily rebutted. James seems to have been guilty of this sin.
If truth is the end of enquiry, what if it never ends, or ends prematurely? [Atkin on Peirce]
     Full Idea: Two related worries about Peirce's account of truth are (from Royce) what are we to make of truth if enquiry never reaches an end, and (from Russell) what are we to make of truth if enquiry ends prematurely?
     From: comment on Charles Sanders Peirce (works [1892]) by Albert Atkin - Peirce 3 'issues'
     A reaction: The defence of Peirce must be that the theory is not holistic - referring to the whole Truth about absolutely everything. The discovery of the periodic table seems to me to support Peirce. In many areas basic enquiry has reached an end.
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Pure mathematics deals only with hypotheses, of which the reality does not matter [Peirce]
     Full Idea: The pure mathematician deals exclusively with hypotheses. Whether or not there is any corresponding real thing, he does not care.
     From: Charles Sanders Peirce (works [1892], CP5.567), quoted by Albert Atkin - Peirce 3 'separation'
     A reaction: [Dated 1902] Maybe we should identify a huge branch of human learning as Hyptheticals. Professor of Hypotheticals at Cambridge University. The trouble is it would have to include computer games. So why does maths matter more than games?
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Bivalence is a regulative assumption of enquiry - not a law of logic [Peirce, by Misak]
     Full Idea: Peirce takes bivalence not to be a law of logic, but a regulative assumption of enquiry.
     From: report of Charles Sanders Peirce (works [1892]) by Cheryl Misak - Pragmatism and Deflationism 2 n10
     A reaction: I like this. For most enquiries it's either true or not true, it's either there or it's not there. When you aren't faced with these simple dichotomies (in history, or quantum mechanics) you can relax, and allow truth value gaps etc.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
7. Existence / D. Theories of Reality / 3. Reality
The real is the idea in which the community ultimately settles down [Peirce]
     Full Idea: The real is the idea in which the community ultimately settles down.
     From: Charles Sanders Peirce (works [1892]), quoted by Martin Kusch - Knowledge by Agreement Ch.16
     A reaction: If this is anti-realism, then I don't like it. If it is realist, then it is probably a bit on the optimistic side (if you think about cultures that are into witchcraft and voodoo).
8. Modes of Existence / A. Relations / 1. Nature of Relations
Peirce and others began the mapping out of relations [Peirce, by Hart,WD]
     Full Idea: It was Peirce and Schröder in the nineteenth century who began a systematic taxonomy of relations.
     From: report of Charles Sanders Peirce (works [1892], 4) by William D. Hart - The Evolution of Logic 4
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
Peirce's later realism about possibilities and generalities went beyond logical positivism [Peirce, by Atkin]
     Full Idea: The realism about possibilities, generalities, tendencies and habits that we find in Peirce's later maxim is something that the logical positivists would have been uncomfortable with.
     From: report of Charles Sanders Peirce (works [1892]) by Albert Atkin - Peirce 2 'Concl'
     A reaction: Atkin examines the various later statements of the earlier maxim, given here in Idea 21490. Ryle and Quine express the empiricist and logical positivist approach to dispositions.
9. Objects / D. Essence of Objects / 12. Essential Parts
Mereological essentialism says an entity must have exactly those parts [Sosa]
     Full Idea: Mereological essentialism says that nothing else could have been the unique entity composed of certain parts except the very thing that is composed of those parts.
     From: Ernest Sosa (Varieties of Causation [1980], 2)
     A reaction: This sounds initially implausible. It means the ship of Theseus ceases to be that ship if you change a single nail of it. Whether we say that seems optional, but if we do, it leads to the collaps of all our normal understanding of identity.
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
The possible can only be general, and the force of actuality is needed to produce a particular [Peirce]
     Full Idea: The possible is necessarily general…..It is only actuality, the force of existence, which bursts the fluidity of the general and produces a discrete unit.
     From: Charles Sanders Peirce (works [1892]), quoted by François Recanati - Mental Files 13.1
     A reaction: [Papers 4 1967:147] This was quoted by Prior, and is often cited. Recanati is interested in the notion of a singular thought being tied to actuality, by generating a mental file.
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
Inquiry is not standing on bedrock facts, but standing in hope on a shifting bog [Peirce]
     Full Idea: Inquiry is not standing upon a bedrock of fact. It is walking up a bog, and can only say, this ground seems to hold for the present. Here I will stay until it begins to give way.
     From: Charles Sanders Peirce (works [1892], CP 5.589), quoted by Gottfried Leibniz - Letter to Newton 4
     A reaction: [I don't know which article this lovely quote comes from]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
What law would explain causation in the case of causing a table to come into existence? [Sosa]
     Full Idea: If I fasten a board onto a tree stump, causing a table to come into existence, ...what law of nature or, even, what quasi-law or law-like principle could possibly play in such a case of generation the role required by nomological accounts?
     From: Ernest Sosa (Varieties of Causation [1980], 1)
     A reaction: A very nice question. The nomological account is at its strongest when rocks fall off walls or magnets attract, but all sorts of other caused events seem too messy or complex or original to fit the story.
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Where is the necessary causation in the three people being tall making everybody tall? [Sosa]
     Full Idea: It is not clear how to analyse the form of necessary causation found in the only three people in the room being tall causing everybody in the room to be tall.
     From: Ernest Sosa (Varieties of Causation [1980], 5)
     A reaction: I would want to challenge this as a case of causation. There are no events or processes involved. It seems that a situation described in one way can also be described in another.
The necessitated is not always a result or consequence of the necessitator [Sosa]
     Full Idea: The necessitated is not always a result or consequence of the necessitator. If p-and-q is a fact, then this necessitates that p, but the fact that p need not be a result or consequence of the fact that p-and-q.
     From: Ernest Sosa (Varieties of Causation [1980], p.242)
     A reaction: This is obviously correct, and needs to be borne in mind when considering necessary causation. It is not enough to produce a piece of logic; something in the link from cause to effect must be demonstrated to be necessary.