Combining Texts

All the ideas for 'The Birth of Tragedy', 'The Nature of Mathematics' and 'Truth'

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14 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
     Full Idea: For Nietzsche philosophy begins in horror - existence is something both horrible and absurd.
     From: report of Friedrich Nietzsche (The Birth of Tragedy [1871]) by Keith Ansell Pearson - How to Read Nietzsche Ch.1
     A reaction: A striking contrast to Aristotle (Idea 549). Personally I think my philosophy begins with confusion. Not that I endorse a Wittgenteinian view, that we are just trying to cure ourselves of self-inflicted wounds. Life is very complex and we are bit simple.
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
To explain a concept, we need its purpose, not just its rules of usage [Dummett]
     Full Idea: We cannot in general suppose that we give a proper account of a concept by describing those circumstance in which we do, and those in which we do not, make use of the relevant word. We explain the point of the concept, what we use the word for.
     From: Michael Dummett (Truth [1959], p.231)
     A reaction: Well said. I am beginning to develop a campaign to make sure that analytical philosophy focuses on understanding concepts (in a full 'logos' sort of way), and doesn't just settle for logical form or definition or rules of usage.
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophy is an experimental science, resting on common experience [Peirce]
     Full Idea: Philosophy, although it uses no microscopes or other apparatus of special observation, is really an experimental science, resting on that experience which is common to us all.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], I)
     A reaction: The 'experimental' either implies that thought-experiments are central to the subject, or that philosophers are discussing the findings of scientists, but at a high level of theory and abstraction. Peirce probably means the latter. I can't disagree.
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction [Peirce]
     Full Idea: It is an anacoluthon to say that a proposition is impossible because it is self-contradictory. It rather is thought so to appear self-contradictory because the ideal induction has shown it to be impossible.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], III)
3. Truth / A. Truth Problems / 1. Truth
It is part of the concept of truth that we aim at making true statements [Dummett]
     Full Idea: It is part of the concept of truth that we aim at making true statements.
     From: Michael Dummett (Truth [1959], p.231)
     A reaction: This strikes me as a rather contentious but very interesting claim. An even stronger claim might be that its value (its normative force) is ALL that the concept of truth contributes to speech, other aspects being analysed into something else.
3. Truth / A. Truth Problems / 2. Defining Truth
We must be able to specify truths in a precise language, like winning moves in a game [Dummett]
     Full Idea: For a particular bounded language, if it is free of ambiguity and inconsistency, it must be possible to characterize the true sentences of the language; somewhat as, for a given game, we can say which moves are winning moves.
     From: Michael Dummett (Truth [1959], p.237)
     A reaction: The background of this sounds rather like Tarski, with truth just being a baton passed from one part of the language to another, though Dummett adds the very un-Tarskian notion that truth has a value.
3. Truth / F. Semantic Truth / 2. Semantic Truth
Tarski's truth is like rules for winning games, without saying what 'winning' means [Dummett, by Davidson]
     Full Idea: Tarski's definition of truth is like giving a definition of what it is to win in various games, without giving a hint as to what winning is (e.g. that it is what one tries to do when playing).
     From: report of Michael Dummett (Truth [1959]) by Donald Davidson - Truth and Predication 7
     A reaction: This led Dummett to his 'normative' account of truth. Formally, the fact that speakers usually aim at truth seems irrelevant, but in life you certainly wouldn't have grasped truth if you thought falsehood was just as satisfactory. The world is involved.
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]
     Full Idea: Mathematics is purely hypothetical: it produces nothing but conditional propositions. Logic, on the contrary, is categorical in its assertions. True, it is a normative science, and not a mere discovery of what really is. It discovers ends from means.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], II)
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Mathematics is close to logic, but is even more abstract [Peirce]
     Full Idea: The whole of the theory of numbers belongs to logic; or rather, it would do so, were it not, as pure mathematics, pre-logical, that is, even more abstract than logic.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], IV)
     A reaction: Peirce seems to flirt with logicism, but rejects in favour of some subtler relationship. I just don't believe that numbers are purely logical entities.
10. Modality / B. Possibility / 1. Possibility
Some logical possibility concerns single propositions, but there is also compatibility between propositions [Peirce]
     Full Idea: Many say everything is logically possible which involves no contradiction. In this sense two contradictory propositions may be severally possible. In the substantive sense, the contradictory of a possible proposition is impossible (if we were omniscient).
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], III)
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Experience is indeed our only source of knowledge, provided we include inner experience [Peirce]
     Full Idea: If Mill says that experience is the only source of any kind of knowledge, I grant it at once, provided only that by experience he means personal history, life. But if he wants me to admit that inner experience is nothing, he asks what cannot be granted.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898])
     A reaction: Notice from Idea 14785 that Peirce has ideas in mind, and not just inner experiences like hunger. Empiricism certainly begins to look more plausible if we expand the notion of experience. It must include what we learned from prior experience.
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The world is one of experience, but experiences are always located among our ideas [Peirce]
     Full Idea: The real world is the world of sensible experience, and it is part of the process of sensible experience to locate its facts in the world of ideas.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], III)
     A reaction: This is the neatest demolition of the sharp dividing line between empiricism and rationalism that I have ever encountered.
18. Thought / E. Abstraction / 1. Abstract Thought
You can't infer a dog's abstract concepts from its behaviour [Dummett]
     Full Idea: One could train a dog to bark only when a bell rang and a light shone without presupposing that it possessed the concept of conjunction.
     From: Michael Dummett (Truth [1959], p.235)
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is the science of aims [Peirce]
     Full Idea: Ethics is the science of aims.
     From: Charles Sanders Peirce (The Nature of Mathematics [1898], II)
     A reaction: Intriguing slogan. He is discussing the aims of logic. I think what he means is that ethics is the science of value. 'Science' may be optimistic, but I would sort of agree with his basic idea.