Combining Texts

All the ideas for 'On Interpretation', 'What is the Source of Knowledge of Modal Truths?' and 'Infinitism not solution to regress problem'

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40 ideas

2. Reason / B. Laws of Thought / 4. Contraries
In "Callias is just/not just/unjust", which of these are contraries? [Aristotle]
     Full Idea: Take, for example, "Callias is just", "Callias is not just", and "Callias is unjust"; which of these are contraries?
     From: Aristotle (On Interpretation [c.330 BCE], 23a31)
2. Reason / D. Definition / 6. Definition by Essence
A definition of a circle will show what it is, and show its generating principle [Lowe]
     Full Idea: If the definition of a circle is based on 'locus of a point', this tells us what a circle is, and it does so by revealing its generating principle, what it takes for a circle to come into being.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: Lowe says that real definitions, as essences, do not always have to spell out a 'generating principle', but they do in this case. Another approach would be to try to map dependence relations between truths about circles, and see what is basic.
Defining an ellipse by conic sections reveals necessities, but not the essence of an ellipse [Lowe]
     Full Idea: Defining an ellipse in terms of the oblique intersection of a cone and a plane (rather than in terms of the sum of the distance between the foci) gives us a necessary property, but not the essence, because the terms are extrinsic to its nature.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: [compressed wording] Helpful and illuminating. If you say some figure is what results when one thing intersects another, that doesn't tell you what the result actually is. Geometrical essences may be a bit vague, but they are quite meaningful.
An essence is what an entity is, revealed by a real definition; this is not an entity in its own right [Lowe]
     Full Idea: An entity's essence is just what that entity is, revealed by its real definition. This isn't a distinct entity, but either the entity itself, or (my view) no entity at all. ..We should not reify essence, as that leads to an infinite regress of essences.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: The regress problem is a real one, if we wish to treat an essence as some proper and distinct part of an entity. If it is a mechanism, for example, the presumably a mechanism has an essence. No, it doesn't! Levels of explanation!
2. Reason / D. Definition / 11. Ostensive Definition
Simple things like 'red' can be given real ostensive definitions [Lowe]
     Full Idea: Is it true that we cannot say, non-circularly, what red is? We cannot find a complex synonym for it, but I think we can provide red with an ostensive real definition.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: I'm not quite sure how 'real' this definition would be, if it depends on observers (some of whom may be colourblind). In what sense is this act of ostensions a 'definition'? You must distinguish the colour from the texture or shape.
3. Truth / B. Truthmakers / 10. Making Future Truths
It is necessary that either a sea-fight occurs tomorrow or it doesn't, though neither option is in itself necessary [Aristotle]
     Full Idea: It is not necessary for a sea-battle to take place tomorrow, nor for one not to take place tomorrow - though it is necessary for one to take place OR not take place tomorrow.
     From: Aristotle (On Interpretation [c.330 BCE], 19a30)
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Statements are true according to how things actually are [Aristotle]
     Full Idea: Statements are true according to how things actually are.
     From: Aristotle (On Interpretation [c.330 BCE], 19a33)
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Aristotle's later logic had to treat 'Socrates' as 'everything that is Socrates' [Potter on Aristotle]
     Full Idea: When Aristotle moved from basic name+verb (in 'De Interpretatione') to noun+noun logic...names had to be treated as special cases, so that 'Socrates' is treated as short for 'everything that is Socrates'.
     From: comment on Aristotle (On Interpretation [c.330 BCE]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 02 'Supp'
     A reaction: Just the sort of rewriting that Russell introduced for definite descriptions. 'Twas ever the logicians' fate to shoehorn ordinary speech into awkward containers.
Square of Opposition: not both true, or not both false; one-way implication; opposite truth-values [Aristotle]
     Full Idea: Square of Opposition: horizontals - 'contraries' can't both be true, and 'subcontraries' can't both be false; verticals - 'subalternatives' have downwards-only implication; diagonals - 'contradictories' have opposite truth values.
     From: Aristotle (On Interpretation [c.330 BCE], Ch.12-13)
     A reaction: This is still used in modern discussion (e.g. by Stalnaker against Kripke), and there is a modal version of it (Fitting and Mendelsohn p.7). Corners read: 'All F are G', 'No F are G', 'Some F are G' and 'Some F are not G'.
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Modal Square 1: □P and ¬◊¬P are 'contraries' of □¬P and ¬◊P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 1: 'It is necessary that P' and 'It is not possible that not P' are the contraries (not both true) of 'It is necessary that not P' and 'It is not possible that P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12a) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 2: ¬□¬P and ◊P are 'subcontraries' of ¬□P and ◊¬P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 2: 'It is not necessary that not P' and 'It is possible that P' are the subcontraries (not both false) of 'It is not necessary that P' and 'It is possible that not P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12b) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 3: □P and ¬◊¬P are 'contradictories' of ¬□P and ◊¬P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 3: 'It is necessary that P' and 'It is not possible that not P' are the contradictories (different truth values) of 'It is not necessary that P' and 'It is possible that not P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12c) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 4: □¬P and ¬◊P are 'contradictories' of ¬□¬P and ◊P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 4: 'It is necessary that not P' and 'It is not possible that P' are the contradictories (different truth values) of 'It is not necessary that not P' and 'It is possible that P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12d) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 5: □P and ¬◊¬P are 'subalternatives' of ¬□¬P and ◊P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 5: 'It is necessary that P' and 'It is not possible that not P' are the subalternatives (first implies second) of 'It is not necessary that not P' and 'It is possible that P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12e) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 6: □¬P and ¬◊P are 'subalternatives' of ¬□P and ◊¬P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 6: 'It is necessary that not P' and 'It is not possible that P' are the subalternatives (first implies second) of 'It is not necessary that P' and 'It is possible that not P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12f) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
In talking of future sea-fights, Aristotle rejects bivalence [Aristotle, by Williamson]
     Full Idea: Unlike Aristotle, Stoics did not reject Bivalence for future contingencies; it is true or false that there will be a sea-fight tomorrow.
     From: report of Aristotle (On Interpretation [c.330 BCE], 19a31) by Timothy Williamson - Vagueness 1.2
     A reaction: I'd never quite registered this simple account of the sea-fight. As Williamson emphasises, one should not lightly reject the principle of bivalence. Has Aristotle entered a slippery slope? Stoics disagreed with Aristotle.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
A prayer is a sentence which is neither true nor false [Aristotle]
     Full Idea: A prayer is a sentence which is neither true nor false.
     From: Aristotle (On Interpretation [c.330 BCE], 17a01)
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
Non-existent things aren't made to exist by thought, because their non-existence is part of the thought [Aristotle]
     Full Idea: It is not true to say that what is not, since it is thought about, is something that is; for what is thought about it is not that it is, but that it is not.
     From: Aristotle (On Interpretation [c.330 BCE], 21a31)
     A reaction: At least there has been one philosopher who was quite clear about the distinction between a thought and what the thought is about (its content). Often forgotten!
7. Existence / A. Nature of Existence / 5. Reason for Existence
Maybe necessity and non-necessity are the first principles of ontology [Aristotle]
     Full Idea: Perhaps the necessary and non-necessary are first principles of everything's either being or not being.
     From: Aristotle (On Interpretation [c.330 BCE], 23a18)
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
The essence of lumps and statues shows that two objects coincide but are numerically distinct [Lowe]
     Full Idea: It is a metaphysically necessary truth, obtaining in virtue of the essences of such objects (of what a bronze statue and a lump of bronze are) that when it exists a bronze statue coincides with a lump of bronze, which is numerically distinct from it.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: I think it is nonsense to treat the lump and statue as two objects. It is essential that a statue be made of a lump, and essential that a lump have a shape, so to treat the lump and the shape as two different objects is a failure to grasp the essence.
The essence of a bronze statue shows that it could be made of different bronze [Lowe]
     Full Idea: It is a metaphysical possibility, obtaining in virtue of the essences of such objects, that the same bronze statue should coincide with different lumps of bronze at different times. (..they have different persistence conditions).
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: If the fame of a statue were that it had been made by melting down the shield of Achilles (say), then the bronze it was made of would be its most important feature. Essences are more contextual than Lowe might wish.
9. Objects / D. Essence of Objects / 4. Essence as Definition
Grasping an essence is just grasping a real definition [Lowe]
     Full Idea: All that grasping an essence amounts to is understanding a real definition, that is, understanding a special kind of proposition.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 7)
     A reaction: He refuses to 'reify' an essence, and says it is not an entity, so he seems to think that the definition is the essence, but Aristotle and I take the essence to be what is picked out by the correct definition - not the definition itself.
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Explanation can't give an account of essence, because it is too multi-faceted [Lowe]
     Full Idea: Explanation is a multifaceted one, with many species (logical, mathematical, causal, teleological, and psychological), ..so it is not a notion fit to be appealed to in order to frame a perspicuous account of essence. That is one species of explanation.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: This directly attacks the core of my thesis! His parenthetical list does not give types of explanation. If I say this explanation is 'psychological', that says nothing about what explanation is. All of his instances could rest on essences.
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
If we must know some entity to know an essence, we lack a faculty to do that [Lowe]
     Full Idea: If knowledge of essence were by acquaintance of a special kind of entity, we would doubt our ability to grasp the essence of things. For what faculty could be involved in this special kind of acquaintance?
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 7)
     A reaction: This is Lockean empirical scepticism about essences, but I take the view that sometimes you can be acquainted with an essence, but more often you correctly infer it from you acquaintance - and this is just what scientists do.
10. Modality / A. Necessity / 3. Types of Necessity
Logical necessities, based on laws of logic, are a proper sub-class of metaphysical necessities [Lowe]
     Full Idea: If logically necessary truths are consequences of the laws of logic, then I think they are only a proper sub-class of the class of metaphysically necessary truths.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 1)
     A reaction: The problem for this is unusual and bizarre systems of logic, or systems that contradict one another. This idea is only plausible if you talk about the truths derived from some roughly 'classical' core of logic. 'Tonk' won't do it!
10. Modality / A. Necessity / 5. Metaphysical Necessity
'Metaphysical' necessity is absolute and objective - the strongest kind of necessity [Lowe]
     Full Idea: By 'metaphysical' necessity I mean necessity of the strongest possible kind - absolute necessity - and I take it to be an objective kind of necessity, rather than being something mind-dependent.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 1)
     A reaction: See Bob Hale for the possibility that 'absolute' and 'metaphysical' necessity might come apart. I think I believe in metaphysical necessity, but I'm uneasy about 'absolute' necessity. That may be discredited by the sceptics.
10. Modality / B. Possibility / 2. Epistemic possibility
'Epistemic' necessity is better called 'certainty' [Lowe]
     Full Idea: 'Epistemic' necessity is more properly to be called 'certainty'.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 1)
     A reaction: Sounds wrong. Surely I can be totally certain of a contingent truth?
10. Modality / C. Sources of Modality / 6. Necessity from Essence
If an essence implies p, then p is an essential truth, and hence metaphysically necessary [Lowe]
     Full Idea: If we can truly affirm that it is part of the essence of some entity that p is the case, then p is an essential truth and so a metaphysically necessary truth.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: This feels too quick. He is trying to expound the idea (which I like) that necessity derives from essences, and not vice versa. Is it a metaphysical necessity that there are no moths in my wardrobe, because mothballs have driven them away? Maybe.
Metaphysical necessity is either an essential truth, or rests on essential truths [Lowe]
     Full Idea: A metaphysically necessary truth is a truth which is either an essential truth or a truth that obtains in virtue of the essences of two or more distinct things. Hence all metaphysical necessity is grounded in essence.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: Lowe is endeavouring to give an exposition of the approach advocated by Kit Fine. I divide necessities 'because of' things (such as essences) from necessities 'for' things, such as situations or events.
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
We could give up possible worlds if we based necessity on essences [Lowe]
     Full Idea: If we explicate the notion of metaphysical necessity in terms of the notion of essence, rather than vice versa, this may enable us to dispense with the language of possible worlds as a means of explicating modal statements.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: This is the approach I favour, though I am not convinced that the two approaches are in competition, since essentialism gives the driving force for necessity, whereas possible worlds map the logic and semantics of it.
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
'Intuitions' are just unreliable 'hunches'; over centuries intuitions change enormously [Lowe]
     Full Idea: I suspect that 'intuitions' and 'hunches' are pretty much the same thing, and pretty useless as sources of knowledge. …Things that seemed intuitively true to our forebears a century or two ago often by no means seem intuitively true to us now.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 2)
     A reaction: I don't accept this. Intuitions change a lot over the centuries because the reliable knowledge which informs intuitions has also changed a lot. Arguments and evidence may nail individual truths, but coherence must rest on intuition.
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Must all justification be inferential? [Ginet]
     Full Idea: The infinitist view of justification holds that every justification must be inferential: no other kind of justification is possible.
     From: Carl Ginet (Infinitism not solution to regress problem [2005], p.141)
     A reaction: This is the key question in discussing whether justification is foundational. I'm not sure whether 'inference' is the best word when something is evidence for something else. I am inclined to think that only propositions can be reasons.
Inference cannot originate justification, it can only transfer it from premises to conclusion [Ginet]
     Full Idea: Inference cannot originate justification, it can only transfer it from premises to conclusion. And so it cannot be that, if there actually occurs justification, it is all inferential.
     From: Carl Ginet (Infinitism not solution to regress problem [2005], p.148)
     A reaction: The idea that justification must have an 'origin' seems to beg the question. I take Klein's inifinitism to be a version of coherence, where the accumulation of good reasons adds up to justification. It is not purely inferential.
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
A concept is a way of thinking of things or kinds, whether or not they exist [Lowe]
     Full Idea: The nearest I can get to a quick definition is to say that a concept is a way of thinking of some thing or kind of things, whether or not a really existent thing or kind of things.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 2)
     A reaction: The focus on 'things' seems rather narrow. Are relations things? He makes concepts sound adverbial, so that there is thinking going on, and then we add 'ways' of doing it. Thinking depends on concepts, not concepts on thinking.
19. Language / A. Nature of Meaning / 2. Meaning as Mental
For Aristotle meaning and reference are linked to concepts [Aristotle, by Putnam]
     Full Idea: In 'De Interpretatione' Aristotle laid out an enduring theory of reference and meaning, in which we understand a word or any other sign by associating that word with a concept. This concept determines what the word refers to.
     From: report of Aristotle (On Interpretation [c.330 BCE]) by Hilary Putnam - Representation and Reality 2 p.19
     A reaction: Sounds right to me, despite all this Wittgensteinian stuff about beetles in boxes. When you meet a new technical term in philosophy, you must struggle to fully grasp the concept it proposes.
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
Direct reference doesn't seem to require that thinkers know what it is they are thinking about [Lowe]
     Full Idea: It may be objected that currently prevailing causal or 'direct' theories of reference precisely deny that a thinker must know what it is the he or she is thinking about in order to be able to think about it.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 7)
     A reaction: Lowe says that at least sometimes we have to know that we are thinking about, so this account of reference can't be universally true. My solution is to pull identity and essence apart. You only need identity, not essence, for reference.
19. Language / D. Propositions / 4. Mental Propositions
Spoken sounds vary between people, but are signs of affections of soul, which are the same for all [Aristotle]
     Full Idea: Spoken sounds are symbols of affections in the soul, ...and just as written marks are not the same for all men, neither are spoken sounds. But what these are in the first place signs of - affections of the soul - are the same for all.
     From: Aristotle (On Interpretation [c.330 BCE], 16a03-08)
     A reaction: Loux identifies this passage as the source of the 'conceptualist' view of propositions, which I immediately identify with. The view that these propositions are 'the same for all' is plausible for normal objects, but dubious for complex abstractions.
19. Language / F. Communication / 3. Denial
It doesn't have to be the case that in opposed views one is true and the other false [Aristotle]
     Full Idea: It is not necessary that of every affirmation and opposite negation one should be true and the other false. For what holds for things that are does not hold for things that are not but may possibly be or not be.
     From: Aristotle (On Interpretation [c.330 BCE], 19a39)
     A reaction: Thus even if Bivalence holds, and the only truth-values are T and F, it doesn't follow that Excluded Middle holds, which says that every proposition must have one of those two values.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
H2O isn't necessary, because different laws of nature might affect how O and H combine [Lowe]
     Full Idea: It is not metaphysically necessary that water is composed of H2O molecules, because the natural laws governing the chemical behaviour of hydrogen and oxygen atoms could have been significantly different, so they might not have composed that substance.
     From: E.J. Lowe (What is the Source of Knowledge of Modal Truths? [2013], 6)
     A reaction: I fear this may be incoherent, as science. See Bird on why salt must dissolve in water. There can't (I suspect) be a law which keeps O and H the same, and yet makes them combine differently.
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
Things may be necessary once they occur, but not be unconditionally necessary [Aristotle]
     Full Idea: To say that everything that is, is of necessity, when it is, is not the same as saying unconditionally that it is of necessity.
     From: Aristotle (On Interpretation [c.330 BCE], 19a25)