Combining Texts

All the ideas for 'Philosophical Fragments', 'Senses of Essence' and 'Apriority and Existence'

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16 ideas

2. Reason / D. Definition / 6. Definition by Essence
The essence or definition of an essence involves either a class of properties or a class of propositions [Fine,K]
     Full Idea: If each object has a unique essence or definition, this may be identified with either the class of properties that it essentially has, or with the class of propositions that are true in virtue of what it is.
     From: Kit Fine (Senses of Essence [1995], §8)
     A reaction: Elsewhere Fine says that it is easier to work with the propositions view, but that the properties (or predicates) view is probably more fundamental. He goes on here to raise the question of whether either view makes the essence unique.
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
The main modal logics disagree over three key formulae [Yablo]
     Full Idea: Lewis's different systems of modal logic differed about such formulae as □P implies □□P; ◊□P implies □P; and ◊S implies □◊S
     From: Stephen Yablo (Apriority and Existence [2000], §06)
     A reaction: Yablo's point is that the various version don't seem to make much difference to our practices in logic, mathematics and science. The problem, says Yablo, is deciding exactly what you mean by 'necessarily' and 'possibly'.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Logical concepts rest on certain inferences, not on facts about implications [Fine,K]
     Full Idea: The nature of the logical concepts is given, not by certain logical truths, but by certain logical inferences. What properly belongs to disjunction is the inference from p to (p or q), rather than the fact that p implies (p or q).
     From: Kit Fine (Senses of Essence [1995], §3)
     A reaction: Does this mean that Fine is wickedly starting with the psychology, rather than with the pure truth of the connection? Frege is shuddering. This view seems to imply that the truth table for 'or' is secondary.
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
The property of Property Abstraction says any suitable condition must imply a property [Fine,K]
     Full Idea: According to the principle of Property Abstraction, there is, for any suitable condition, a property that is possessed by an object just in case it conforms to the condition. This is usually taken to be a second-order logical truth.
     From: Kit Fine (Senses of Essence [1995], §4)
     A reaction: Fine objects that it is implied that if Socrates is essentially a man, then he essentially has the property of being a man. Like Fine, I think this conclusion is distasteful. A classification is not a property, at least the way most people use 'property'.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A logical truth is true in virtue of the nature of the logical concepts [Fine,K]
     Full Idea: One wants to define a logical truth as one that is true in virtue of the nature of the logical concepts.
     From: Kit Fine (Senses of Essence [1995], §3)
     A reaction: This is part of Fine's project to give a revised account of essence, which includes the essence of concepts as well as the essence of objects. Everyone should pay close attention to this project.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
If 'the number of Democrats is on the rise', does that mean that 50 million is on the rise? [Yablo]
     Full Idea: If someone says 'the number of Democrats is on the rise', he or she wants to focus on Democrats, not numbers. If the number is 50 million, is 50 million really on the rise?
     From: Stephen Yablo (Apriority and Existence [2000], §14)
     A reaction: This is a very nice warning from Yablo, against easy platonism, or any sort of platonism at all. We routinely say that numbers are 'increasing', but the real meaning needs entangling. Here it refers to people joining a party.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
We must treat numbers as existing in order to express ourselves about the arrangement of planets [Yablo]
     Full Idea: It is only by making as if to countenance numbers that one can give expression in English to a fact having nothing to do with numbers, a fact about stars and planets and how they are numerically proportioned.
     From: Stephen Yablo (Apriority and Existence [2000], §13)
     A reaction: To avoid the phrase 'numerically proportioned', he might have alluded to the 'pattern' of the stars and planets. I'm not sure which -ism this is, but it seems to me a good approach. The application is likely to precede the theory.
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Platonic objects are really created as existential metaphors [Yablo]
     Full Idea: The means by which platonic objects are simulated is existential metaphor. Numbers are conjured up as metaphorical measures of cardinality.
     From: Stephen Yablo (Apriority and Existence [2000], §12)
     A reaction: 'Fictional' might be a better word than 'metaphorical', since the latter usually implies some sort of comparison.
7. Existence / A. Nature of Existence / 5. Reason for Existence
I assume existence, rather than reasoning towards it [Kierkegaard]
     Full Idea: I always reason from existence, not towards existence.
     From: Søren Kierkegaard (Philosophical Fragments [1844], p.40)
     A reaction: Kierkegaard's important premise to help show that theistic proofs for God's existence don't actually prove existence, but develop the content of a conception. [SY]
7. Existence / D. Theories of Reality / 7. Fictionalism
We quantify over events, worlds, etc. in order to make logical possibilities clearer [Yablo]
     Full Idea: It is not that the contents of sentences are inexpressible without quantifying over events, worlds, etc. (they aren't). But the logical relations become much more tractable if we represent them quantificationally.
     From: Stephen Yablo (Apriority and Existence [2000], §13)
     A reaction: Yablo is explaining why we find ourselves committed to abstract objects. It is essentially, as I am beginning to suspect, a conspiracy of logicians. What on earth is 'the empty set' when it is at home? What's it made of?
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Philosophers keep finding unexpected objects, like models, worlds, functions, numbers, events, sets, properties [Yablo]
     Full Idea: There's a tradition in philosophy of finding 'unexpected objects' in truth-conditions, such as countermodels, possible worlds, functions, numbers, events, sets and properties.
     From: Stephen Yablo (Apriority and Existence [2000], §02)
     A reaction: This is a very nice perspective on the whole matter of abstract objects. If we find ourselves reluctantly committed to the existence of something which is ontologically peculiar, we should go back to the philosophical drawing-board.
9. Objects / D. Essence of Objects / 1. Essences of Objects
Can the essence of an object circularly involve itself, or involve another object? [Fine,K]
     Full Idea: Can the essence of an object (ineliminably) involve that object itself (perhaps through self-identity, giving a direct circularity), or have an indirect circularity involving two or more objects (such as admiration between Watson and Holmes).
     From: Kit Fine (Senses of Essence [1995], §7)
     A reaction: [compressed] This looks like one of the basic questions which any theory of essentialism must address.
9. Objects / D. Essence of Objects / 3. Individual Essences
Being a man is a consequence of his essence, not constitutive of it [Fine,K]
     Full Idea: If we distinguish 'constitutive' from 'consequential' essence, ..then the essence of Socrates will, in part, be constituted by his being a man. But being a man (or a mountain) will merely be consequential upon, and not constitutive of, his essence.
     From: Kit Fine (Senses of Essence [1995], §3)
     A reaction: Yes yes yes. I think it is absurd to say that the class to which something belongs is part of its essential nature, given that it presumably can only belong to the class if it already has a certain essential nature. What did Frankenstein construct?
9. Objects / D. Essence of Objects / 4. Essence as Definition
If there are alternative definitions, then we have three possibilities for essence [Fine,K]
     Full Idea: If there are alternative definitions for an essence, we must distinguish three notions. There is the essence as the manifold (the combined definitions), or as the range of alternative definitions (with component essences), or there is the common essence.
     From: Kit Fine (Senses of Essence [1995], §8)
     A reaction: Fine opts for the third alternative (what the definitions all have in common) as the best account. He says (p.68) 'definitive' properties come from one definition, and 'essential' properties from every possible definition.
10. Modality / A. Necessity / 2. Nature of Necessity
Nothing necessary can come into existence, since it already 'is' [Kierkegaard]
     Full Idea: Can the necessary come into existence? That is a change, and everything that comes into existence demonstrates that it is not necessary. The necessary already 'is'.
     From: Søren Kierkegaard (Philosophical Fragments [1844], p.74)
     A reaction: [SY]
19. Language / F. Communication / 6. Interpreting Language / d. Metaphor
Hardly a word in the language is devoid of metaphorical potential [Yablo]
     Full Idea: There is hardly a word in the language - be it an adverb, preposition, conjunction, or what have you - that is devoid of metaphorical potential.
     From: Stephen Yablo (Apriority and Existence [2000], §12)
     A reaction: Yablo goes on to claim that metaphor is at the heart of all of our abstract thinking. 'Dead metaphors' (like the "mouth" of a river) sink totally into literal language. I think Yablo is on the right lines.