Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Review of 'Aenesidemus'' and 'On the Nature of Moral Values'

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15 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Science is sympathetic to truth as correspondence, since it depends on observation [Quine]
     Full Idea: Science, thanks to its links with observation, retains some title to a correspondence theory of truth.
     From: Willard Quine (On the Nature of Moral Values [1978], p.63)
     A reaction: I would describe what he is affirming as a 'robust' theory of truth. An interesting aside, given his usual allegiance to disquotational, and even redundancy, accounts of truth. You can hardly rely on observations if you think they contain no truth.
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.
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.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Mental presentation are not empirical, but concern the strivings of the self [Fichte]
     Full Idea: The intelligence has as the object of its presentation not an empirical perception, but rather only the necessary striving of the self.
     From: Johann Fichte (Review of 'Aenesidemus' [1792], Wks I:22), quoted by Ludwig Siep - Fichte p.62
     A reaction: The embodiment of Fichte's idealism. The 'striving' is the spontaneous application of concepts described the Kant. Kant looks outwards, but Fichte sees only the striving.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
The thing-in-itself is an empty dream [Fichte, by Pinkard]
     Full Idea: Fichte said that the thing-in-itself (which both Reinhold and Schulze accepted) is only "a piece of whimsy, a pipe-dream, a non-thought".
     From: report of Johann Fichte (Review of 'Aenesidemus' [1792]) by Terry Pinkard - German Philosophy 1760-1860 05
     A reaction: This seems to be a key moment in German philosophy, and the first step towards the idealist interpretation of Kant.
14. Science / C. Induction / 2. Aims of Induction
More careful inductions gradually lead to the hypothetico-deductive method [Quine]
     Full Idea: Our inductions become increasingly explicit and deliberate, and in the fulness of time we even rise above induction, to the hypothetico-deductive method.
     From: Willard Quine (On the Nature of Moral Values [1978], p.57)
     A reaction: This seems to defer to Hempel's account of scientific theorising. I wander what exactly 'rising above' means?
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
Altruistic values concern other persons, and ceremonial values concern practices [Quine]
     Full Idea: Altruistic values attach to satisfactions of other persons, without regard to ulterior satisfactions accruing to oneself. Ceremonial values attach to practices of one's society, without regard to satisfactions accruing to oneself.
     From: Willard Quine (On the Nature of Moral Values [1978], p.58)
     A reaction: An interesting distinction, but probably as blurred and circular as (according to Quine) the analytic/synthetic distinction.
22. Metaethics / B. Value / 2. Values / g. Love
Love seems to diminish with distance from oneself [Quine]
     Full Idea: One cannot reasonably be called upon to love even one's neighbour quite as oneself. Is love to diminish inversely as the square of the distance? Is it to extend to other species than one's own?
     From: Willard Quine (On the Nature of Moral Values [1978], p.65)
     A reaction: Quine isn't actually saying that love is inherently egoistic, but that is the implication. The power of my love is at its most powerful when it is closest to home.