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All the ideas for 'Lectures on the History of Philosophy', 'Truth-making and Correspondence' and 'Truthmakers and Converse Barcan Formula'

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25 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the conceptual essence of the shape of history [Hegel]
     Full Idea: Philosophy is the supreme blossom - the concept - of the entire shape of history, the consciousness and the spiritual essence of the whole situation, the spirit of the age as the spirit present and aware of itself in thought.
     From: Georg W.F.Hegel (Lectures on the History of Philosophy [1830], p.25), quoted by Stephen Houlgate - An Introduction to Hegel 01
     A reaction: This sees philosophy as intrinsically historical, which is a founding idea for 'continental' philosophy. Analysis is tied to science, in which the history of the subject is seen as irrelevant to its truth. Does this mean we can't go back to Aristotle?
3. Truth / A. Truth Problems / 2. Defining Truth
If truths are just identical with facts, then truths will make themselves true [David]
     Full Idea: According to the identity theory of truth, a proposition is true if and only if it is identical with a fact. ...This leads to the unacceptable claim that every true proposition makes itself true (because it is identical to its fact).
     From: Marian David (Truth-making and Correspondence [2009], n 14)
3. Truth / B. Truthmakers / 2. Truthmaker Relation
Examples show that truth-making is just non-symmetric, not asymmetric [David]
     Full Idea: That 'there is at least one proposition' ...is a case where something makes itself true, which generates a counterexample to the natural assumption that truth-making is asymmetric; truth-making, it seems, is merely non-symmetric.
     From: Marian David (Truth-making and Correspondence [2009], 4)
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
It is assumed that a proposition is necessarily true if its truth-maker exists [David]
     Full Idea: Friends of the truth-maker principle usually hold that the following states a crucial necessary condition on truth-making: if x makes y true, then, necessarily, if x exists then y is true.
     From: Marian David (Truth-making and Correspondence [2009], 2)
     A reaction: My objection is that the proposition y is taken to pre-exist, primly awaiting the facts that will award it 'truth'. An ontology that contains an infinity of propositions, most of which so far lack a truth-value, is incoherent. You can have x, but no y!
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Two different propositions can have the same fact as truth-maker [David]
     Full Idea: Two different propositions can have the same fact as truth-maker. For example, 'L is happy or L is hungry', and 'L is happy or L is thirsty', which are both made true by the fact that L is happy.
     From: Marian David (Truth-making and Correspondence [2009], 1)
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
The truthmaker principle requires some specific named thing to make the difference [Williamson]
     Full Idea: The truthmaker principle seems compelling, because if a proposition is true, something must be different from a world in which it is false. The principle makes this specific, by treating 'something' as a quantifier binding a variable in name position.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
     A reaction: See Williamson for an examination of the logical implications of this. The point is that the principle seems to require some very specific 'thing', which may be asking too much. For a start, it might be the absence of a thing.
What matters is truth-making (not truth-makers) [David]
     Full Idea: The term 'truthmaker' just labels whatever stands in the truth-making relation to a truth. The truth-making relation is crucial. It would have been just as well to refer to the truth-'maker' principle as the truth-'making' principle.
     From: Marian David (Truth-making and Correspondence [2009], 1)
     A reaction: This is well said. The commitment of this theory is to something which makes each proposition true. There is no initial commitment to any theories about what sorts of things do the job.
3. Truth / B. Truthmakers / 7. Making Modal Truths
Truthmaker is incompatible with modal semantics of varying domains [Williamson]
     Full Idea: Friends of the truthmaker principle should reject the Kripke semantics of varying domains.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3)
     A reaction: See other ideas from this paper to get a sense of what that is about.
The converse Barcan formula will not allow contingent truths to have truthmakers [Williamson]
     Full Idea: The converse Barcan formula does not allow any contingent truths at all to have a truthmaker. Once cannot combine the converse Barcan formula with any truthmaker principle worth having.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3)
     A reaction: One might reply, so much the worse for the converse Barcan formula, but Williamson doesn't think that.
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Correspondence is symmetric, while truth-making is taken to be asymmetric [David]
     Full Idea: Correspondence appears to be a symmetric relation while truth-making appears to be, or is supposed to be, an asymmetric relation.
     From: Marian David (Truth-making and Correspondence [2009], Intro)
Correspondence is an over-ambitious attempt to explain truth-making [David]
     Full Idea: Truth-maker theory says that the attempt by correspondence to fill in the generic truth-maker principle with something more informative fails. It is too ambitious, offering a whole zoo of funny facts that are not needed.
     From: Marian David (Truth-making and Correspondence [2009], 1)
     A reaction: A typical funny fact is a disjunctive fact, which makes 'he is hungry or thirsty' true (when it can just be made true by the simple fact that he is thirsty).
Correspondence theorists see facts as the only truth-makers [David]
     Full Idea: Correspondence theorists are committed to the view that, since truth is correspondence with a fact, only facts can make true propositions true.
     From: Marian David (Truth-making and Correspondence [2009], 4)
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Correspondence theory likes ideal languages, that reveal the structure of propositions [David]
     Full Idea: Correspondence theorists tend to promote ideal languages, ...which is intended to mirror perfectly the structure of the propositions it expresses.
     From: Marian David (Truth-making and Correspondence [2009], n 03)
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
What makes a disjunction true is simpler than the disjunctive fact it names [David]
     Full Idea: The proposition that 'L is happy or hungry' can be made true by the fact that L is happy. This does not have the same complexity or constituent structure as the proposition it makes true.
     From: Marian David (Truth-making and Correspondence [2009], 1)
One proposition can be made true by many different facts [David]
     Full Idea: One proposition can be made true by many different facts (such as 'there are some happy dogs').
     From: Marian David (Truth-making and Correspondence [2009], 1)
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
If metaphysical possibility is not a contingent matter, then S5 seems to suit it best [Williamson]
     Full Idea: In S5, necessity and possibility are not themselves contingent matters. This is plausible for metaphysical modality, since metaphysical possibility, unlike practical possibility, does not depend on the contingencies of one's situation.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §1)
     A reaction: This is the clearest statement I have found of why S5 might be preferable for metaphysics. See Nathan Salmon for the rival view. Williamson's point sounds pretty persuasive to me.
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
If the domain of propositional quantification is constant, the Barcan formulas hold [Williamson]
     Full Idea: If the domain of propositional quantification is constant across worlds, the Barcan formula and its converse hold.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
     A reaction: So the issue is whether we should take metaphysics to be dealing with a constant or varying domains. Williamson seems to favour the former, but my instincts incline towards the latter.
Converse Barcan: could something fail to meet a condition, if everything meets that condition? [Williamson]
     Full Idea: The converse Barcan is at least plausible, since its denial says there is something that could fail to meet a condition when everything met that condition; but how could everything meet that condition if that thing did not?
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3)
     A reaction: Presumably the response involves a discussion of domains, since everything in a given domain might meet a condition, but something in a different domain might fail it.
5. Theory of Logic / G. Quantification / 1. Quantification
Not all quantification is either objectual or substitutional [Williamson]
     Full Idea: We should not assume that all quantification is either objectual or substitutional.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], p.262)
     A reaction: [see Prior 1971:31-4] He talks of quantifying into sentence position.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional quantification is metaphysical neutral, and equivalent to a disjunction of instances [Williamson]
     Full Idea: If quantification into sentence position is substitutional, then it is metaphysically neutral. A substitutionally interpreted 'existential' quantification is semantically equivalent to the disjunction (possibly infinite) of its substitution instances.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
     A reaction: Is it not committed to the disjunction, just as the objectual reading commits to objects? Something must make the disjunction true. Or is it too verbal to be about reality?
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Not all quantification is objectual or substitutional [Williamson]
     Full Idea: We should not assume that all quantification is objectual or substitutional.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
If 'fact' is a noun, can we name the fact that dogs bark 'Mary'? [Williamson]
     Full Idea: If one uses 'fact' as a noun, the question arises why one cannot name the fact that dogs bark 'Mary'.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2 n10)
     A reaction: What an intriguing thought! Must all nouns pass this test? 'The courage of the regiment was called Alfred'?
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
A reflexive relation entails that the relation can't be asymmetric [David]
     Full Idea: An asymmetric relation must be irreflexive: any case of aRa will yield a reductio of the assumption that R is asymmetric.
     From: Marian David (Truth-making and Correspondence [2009], 4)
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
Our ability to count objects across possibilities favours the Barcan formulas [Williamson]
     Full Idea: Consideration of our ability to count objects across possibilities strongly favour both the Barcan formula and its converse.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3)
     A reaction: I'm not sure that I can understand counting objects across possibilities. The objects themselves are possibilia, and possibilia seem to include unknowns. The unexpected is highly possible.
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
A thing can't be the only necessary existent, because its singleton set would be as well [Williamson]
     Full Idea: That there is just one necessary existent is surely false, for if x is a necessary, {x} is a distinct necessary existent.
     From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §1)
     A reaction: You would have to believe that sets actually 'exist' to accept this, but it is a very neat point.