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All the ideas for 'Mathematical Methods in Philosophy', 'The Coherence Theory of Truth' and 'Centring'

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26 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
For idealists reality is like a collection of beliefs, so truths and truthmakers are not distinct [Young,JO]
     Full Idea: Idealists do not believe that there is an ontological distinction between beliefs and what makes beliefs true. From their perspective, reality is something like a collection of beliefs.
     From: James O. Young (The Coherence Theory of Truth [2013], §2.1)
     A reaction: This doesn't seem to me to wholly reject truthmakers, since beliefs can still be truthmakers for one another. This is something like Davidson's view, that only beliefs can justify other beliefs.
3. Truth / D. Coherence Truth / 1. Coherence Truth
Coherence theories differ over the coherence relation, and over the set of proposition with which to cohere [Young,JO]
     Full Idea: Coherence theories of truth differ on their accounts of the coherence relation, and on their accounts of the set (or sets) of propositions with which true propositions occur (the 'specified set').
     From: James O. Young (The Coherence Theory of Truth [2013], §1)
     A reaction: Coherence is clearly more than consistency or mutual entailment, and I like to invoke explanation. The set has to be large, or the theory is absurd (as two absurdities can 'cohere'). So very large, or very very large, or maximally large?
Two propositions could be consistent with your set, but inconsistent with one another [Young,JO]
     Full Idea: It is unsatisfactory for the coherence relation to be consistency, because two propositions could be consistent with a 'specified set', and yet be inconsistent with each other. That would imply they are both true, which is impossible.
     From: James O. Young (The Coherence Theory of Truth [2013], §1)
     A reaction: I'm not convinced by this. You first accept P because it is consistent with the set; then Q turns up, which is consistent with everything in the set except P. So you have to choose between them, and might eject P. Your set was too small.
Coherence with actual beliefs, or our best beliefs, or ultimate ideal beliefs? [Young,JO]
     Full Idea: One extreme for the specified set is the largest consistent set of propositions currently believed by actual people. A moderate position makes it the limit of people's enquiries. The other extreme is what would be believed by an omniscient being.
     From: James O. Young (The Coherence Theory of Truth [2013], §1)
     A reaction: One not considered is the set of propositions believed by each individual person. Thoroughgoing relativists might well embrace that one. Peirce and Putnam liked the moderate one. I'm taken with the last one, since truth is an ideal, not a phenomenon.
Coherent truth is not with an arbitrary set of beliefs, but with a set which people actually do believe [Young,JO]
     Full Idea: It must be remembered that coherentists do not believe that the truth of a proposition consists in coherence with an arbitrarily chosen set of propositions; the coherence is with a set of beliefs, or a set of propositions held to be true.
     From: James O. Young (The Coherence Theory of Truth [2013], §3.1)
     A reaction: This is a very good response to critics who cite bizarre sets of beliefs which happen to have internal coherence. You have to ask why they are not actually believed, and the answer must be that the coherence is not extensive enough.
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
How do you identify the best coherence set; and aren't there truths which don't cohere? [Young,JO]
     Full Idea: The two main objections to the coherence theory of truth are that there is no way to identify the 'specified set' of propositions without contradiction, ...and that some propositions are true which cohere with no set of beliefs.
     From: James O. Young (The Coherence Theory of Truth [2013], §3.1/2)
     A reaction: The point of the first is that you need a prior knowledge of truth to say which of two sets is the better one. The second one is thinking of long-lost tiny details from the past, which seem to be true without evidence. A huge set might beat the first one.
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationary theories reject analysis of truth in terms of truth-conditions [Young,JO]
     Full Idea: Unlike deflationary theories, the coherence and correspondence theories both hold that truth is a property of propositions that can be analyzed in terms of the sorts of truth-conditions propositions have, and the relation propositions stand in to them.
     From: James O. Young (The Coherence Theory of Truth [2013], Intro)
     A reaction: This is presumably because deflationary theories reject the external relations of a proposition as a feature of its truth. This evidently leaves them in need of a theory of meaning, which may be fairly minimal. Horwich would be an example.
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
     Full Idea: Three periods can be distinguished in philosophical logic: the syntactic stage, from Russell's definite descriptions to the 1950s, the dominance of possible world semantics from the 50s to 80s, and a current widening of the subject.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 1)
     A reaction: [compressed] I've read elsewhere that the arrival of Tarski's account of truth in 1933, taking things beyond the syntactic, was also a landmark.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
     Full Idea: Logical formalization forces the investigator to make the central philosophical concepts precise. It can also show how some philosophical concepts and objects can be defined in terms of others.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: This is the main rationale of the highly formal and mathematical approach to such things. The downside is when you impose 'precision' on language that was never intended to be precise.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
     Full Idea: A (logical) model is a set with functions and relations defined on it that specify the denotation of the non-logical vocabulary. A series of recursive clauses explicate how truth values of complex sentences are compositionally determined from the parts.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: See the ideas on 'Functions in logic' and 'Relations in logic' (in the alphabetical list) to expand this important idea.
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
     Full Idea: If there is indeed no property of existence that is expressed by the word 'exist', then it makes no sense to ask for its essence.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: As far as I can tell, this was exactly Aristotle's conclusion, so he skirted round the question of 'being qua being', and focused on the nature of objects instead. Grand continental talk of 'Being' doesn't sound very interesting.
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
Being is revealed at the point between waking and sleep [Anon (Cent)]
     Full Idea: At the point of sleep when sleep has not yet come and external wakefulness vanishes, at this point being is revealed.
     From: Anon (Cent) (Centring [c.500 BCE], 50)
     A reaction: One for Heidegger. The problem with eastern philosophy is that no one expects that this revelation could be put into words, so we cannot compare our revelations of being, or pass them on to others. Which means they can't be criticised.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
     Full Idea: A Tarskian model can in a sense be seen as a model of a possible state of affairs.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: I include this remark to show how possible worlds semantics built on the arrival of model theory.
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
     Full Idea: The notion of a possible worlds model was extended (resulting in the concept of a 'spheres model') in order to obtain a satisfactory logical treatment of counterfactual conditional sentences.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Thus we add 'centred' worlds, and an 'actual' world, to the loose original model. It is important to remember when we discuss 'close' worlds that we are then committed to these presuppositions.
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
     Full Idea: The idea of 'impossible worlds' was introduced into epistemic logic.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Nathan Salmon seems interested in their role in metaphysics (presumably in relation to Meinongian impossible objects, like circular squares, which must necessarily be circular).
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
     Full Idea: Each possible worlds model contains a set of possible worlds. For this reason, possible worlds semantics is often charged with smuggling in heavy metaphysical commitments.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: To a beginner it looks very odd that you should try to explain possibility by constructing a model of it in terms of 'possible' worlds.
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
     Full Idea: When the possible worlds semantics were further extended to model notions of knowledge and of moral obligation, the application was beginning to look distinctly forced and artificial.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 5)
     A reaction: They accept lots of successes in modelling necessity and time.
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / a. Other minds
Neglect your self, and feel the consciousness of each other being [Anon (Cent)]
     Full Idea: Feel the consciousness of each person as your own consciousness. So, leaving aside concern for self, become each being.
     From: Anon (Cent) (Centring [c.500 BCE], 83)
     A reaction: Good. The western scepticism about other minds puts up a barrier to this sort of thought. The best of Zen is when it encourages the use of imagination to explore what is real. But imagination struggles to distinguish what is true.
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Are truth-condtions other propositions (coherence) or features of the world (correspondence)? [Young,JO]
     Full Idea: For the coherence theory of truth, the truth conditions of propositions consist in other propositions. The correspondence theory, in contrast, states that the truth conditions of propositions are ... objective features of the world.
     From: James O. Young (The Coherence Theory of Truth [2013], Intro)
     A reaction: It is obviously rather important for your truth-conditions theory of meaning that you are clear about your theory of truth. A correspondence theory is evidently taken for granted, even in possible worlds versions.
Coherence truth suggests truth-condtions are assertion-conditions, which need knowledge of justification [Young,JO]
     Full Idea: Coherence theorists can argue that the truth conditions of a proposition are those under which speakers tend to assert it, ...and that speakers can only make a practice of asserting a proposition under conditions they can recognise as justifying it.
     From: James O. Young (The Coherence Theory of Truth [2013], §2.2)
     A reaction: [compressed] This sounds rather verificationist, and hence wrong, since if you then asserted anything for which you didn't know the justification, that would remove its truth, and thus make it meaningless.
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Just as you have the impulse to do something, stop [Anon (Cent)]
     Full Idea: Just as you have the impulse to do something, stop.
     From: Anon (Cent) (Centring [c.500 BCE], 64)
     A reaction: Nice. You might train your own will like a dog in this way. It is a counterexample to the simplistic idea that all you need is a belief and a desire, and you have got an action. But (pace Searle, Ideas 3817 + 3818) this does not prove free will.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Bondage and liberation are relative terms, which only frighten those already terrified of the universe [Anon (Cent)]
     Full Idea: Since in truth, bondage and freedom are relative, these words are only for those terrified with the universe. The universe is a reflection of minds. As you see many suns in water from one sun, so see bondage and liberation.
     From: Anon (Cent) (Centring [c.500 BCE], 110)
     A reaction: Since most easterners have experienced permanent social repression, their philosophies all encourage them not to worry about it. No wonder marxism, proved popular, when it suggested you could actually change things.
29. Religion / C. Spiritual Disciplines / 4. Zen Buddhism
Feel your whole body saturated with cosmic essence [Anon (Cent)]
     Full Idea: Feel your substance, bones, flesh, blood, saturated with cosmic essence.
     From: Anon (Cent) (Centring [c.500 BCE], 23)
     A reaction: I find this unsatisfactory. Being a sad victim of materialistic western scientific culture, I don't think 'cosmic essence' exists. I could imagine myself full of the stuff, and that might feel good, but I could also imagine I had won the lottery.
Abandon attachment to body, and feel the joy of being everywhere [Anon (Cent)]
     Full Idea: Toss attachment for body aside, realising I am everywhere. One who is everywhere is joyous.
     From: Anon (Cent) (Centring [c.500 BCE], 79)
     A reaction: I really don't think it is wisdom to spend your time imagining things which are not true. I might imagine that some gorgeous film star is in love with me, but I don't recommend it. Live according to nature. We are physical beings.
The serenity in blue sky beyond clouds [Anon (Cent)]
     Full Idea: Simply by looking into blue sky beyond clouds - the serenity.
     From: Anon (Cent) (Centring [c.500 BCE], 59)
     A reaction: Philip Larkin finds the same experience looking through high windows. If we articulate the experience, it seems to combine humility and detachment. The sky makes us insignificant, but the mind can project into the sky.
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Imagine fire burning up your whole body, but not you [Anon (Cent)]
     Full Idea: Focus on fire rising through your form from the toes up until the body burns to ashes, but not you.
     From: Anon (Cent) (Centring [c.500 BCE], 28)
     A reaction: Try very hard to persuade yourself that you are immortal, even if you are not. Hm. Zen Buddhism actually contains very little commitment to what is true or false. It explores interesting beliefs like children playing with toys. Very post-modern.