Combining Texts

All the ideas for 'fragments/reports', 'A Plea for Substitutional Quantification' and 'Guidebook to Wittgenstein's Tractatus'

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15 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales]
     Full Idea: Thales was the first thinker in the west to believe that the arché (the basis of things) was intelligible.
     From: comment on Thales (fragments/reports [c.585 BCE]) by David Roochnik - The Tragedy of Reason p.138
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
Interpreting a text is representing it as making sense [Morris,M]
     Full Idea: Interpreting a text is a matter of making sense of it. And to make sense of a text is to represent it as making sense.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], Intro.2)
     A reaction: 'Making sense' is obviously not a very precise or determinate concept. It is probably better to say that the process is 'trying' to make sense of the text, because most texts don't totally make sense.
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Modal logic is not an extensional language [Parsons,C]
     Full Idea: Modal logic is not an extensional language.
     From: Charles Parsons (A Plea for Substitutional Quantification [1971], p.159 n8)
     A reaction: [I record this for investigation. Possible worlds seem to contain objects]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Bipolarity adds to Bivalence the capacity for both truth values [Morris,M]
     Full Idea: According to the Principle of Bipolarity, every meaningful sentence must be capable both of being true and of being false. It is not enough merely that every sentence must be either true or false (which is Bivalence).
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], 3D)
     A reaction: It is said that early Wittgenstein endorses this. That is, in addition to being true, the sentence must be capable of falsehood (and vice versa). This seems to be flirting with the verification principle. I presume it is 'affirmative' sentences.
5. Theory of Logic / G. Quantification / 1. Quantification
Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M]
     Full Idea: There are two problems with defining the quantifiers in terms of conjunction and disjunction. The general statements are unspecific, and do not say which things have the properties, and also they can't range over infinite objects.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], 5C)
     A reaction: That is, the universal quantifier is lots of ands, and the existential is lots of ors. If there only existed finite objects, then naming them all would be universal, and the infinite wouldn't be needed.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
     Full Idea: I argue (against Quine) that the existential quantifier substitutionally interpreted has a genuine claim to express a concept of existence, which may give the best account of linguistic abstract entities such as propositions, attributes, and classes.
     From: Charles Parsons (A Plea for Substitutional Quantification [1971], p.156)
     A reaction: Intuitively I have my doubts about this, since the whole thing sounds like a verbal and conventional game, rather than anything with a proper ontology. Ruth Marcus and Quine disagree over this one.
On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
     Full Idea: For the substitutional interpretation of quantifiers, a sentence of the form '(∃x) Fx' is true iff there is some closed term 't' of the language such that 'Ft' is true. For the objectual interpretation some object x must exist such that Fx is true.
     From: Charles Parsons (A Plea for Substitutional Quantification [1971], p.156)
     A reaction: How could you decide if it was true for 't' if you didn't know what object 't' referred to?
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
     Full Idea: Just distinguishing things is not enough for counting (and hence arithmetic). We need the crucial extra notion of the successor in a series of some kind.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], Intro.5)
     A reaction: This is a step towards the Peano Axioms of arithmetic. The successors could be fingers and toes, taken in a conventional order, and matched one-to-one to the objects. 'My right big toe of cows' means 16 cows (but non-verbally).
To count, we must distinguish things, and have a series with successors in it [Morris,M]
     Full Idea: Distinguishing between things is not enough for counting. …We need the crucial extra notion of a successor in a series of a certain kind.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], Intro)
     A reaction: This is the thinking that led to the Dedekind-Peano axioms for arithmetic. E.g. each series member can only have one successor. There is an unformalisable assumption that the series can then be applied to the things.
Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
     Full Idea: The discrimination of things for counting needs to bring with it the notion of identity (and, correlatively, distinctness).
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], Intro.5)
     A reaction: Morris is exploring how practices like counting might reveal necessary truths about the world.
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius]
     Full Idea: Necessity is the strongest of things, for it rules everything.
     From: report of Thales (fragments/reports [c.585 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 01.2.9
19. Language / D. Propositions / 1. Propositions
There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M]
     Full Idea: The existence of a general propositional form is proved by the fact that there cannot be a proposition whose form could not have been foreseen (i.e. constructed). The general form of the proposition is: Such and such is the case.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], 4.5)
     A reaction: [last bit in Ogden translation] LW eventually expresses this symbolically. We could just say a proposition is an assertion. This strikes as either a rather empty claim, or an unfounded one.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle]
     Full Idea: Thales says water is the first principle (which is why he declared the earth is on water); perhaps he concluded this from seeing that all food is moist.
     From: report of Thales (fragments/reports [c.585 BCE], A12) by Aristotle - Metaphysics 983b12
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle]
     Full Idea: Thales seems, from what is recorded of him, to have supposed that the soul is something productive of movement, if he really said that the magnet has soul because it produces movement in iron.
     From: report of Thales (fragments/reports [c.585 BCE]) by Aristotle - De Anima 405a20
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius]
     Full Idea: When asked whether a man who did wrong could escape the notice of the gods, Thales is said to have replied: 'No, not even if he thinks wrong.'
     From: report of Thales (fragments/reports [c.585 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 01.Th.9