Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Experience First (and reply)' and 'Why Medieval Philosophy Matters'

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20 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Science rests on scholastic metaphysics, not on Hume, Kant or Carnap [Boulter]
     Full Idea: The metaphysical principles that allow the scientist to learn from experience are scholastic, not Humean or Kantian or those of twentieth-century positivism.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 2)
     A reaction: Love this. Most modern philosophers of science would be deeply outraged by this, but I reckon that careful and open-minded interviews with scientists would prove it to be correct. We want to know the essential nature of electrons.
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.
8. Modes of Existence / D. Universals / 2. Need for Universals
Thoughts are general, but the world isn't, so how can we think accurately? [Boulter]
     Full Idea: Our thoughts are full of generalities, but the world contains no generalities. So how can our thoughts accurately represent the world? This is the problem of universals.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 1)
     A reaction: I so love it when someone comes up with a really clear explanation of a problem, and this is a beauty from Stephen Boulter. Only a really clear explanation can motivate philosophical issues for non-philosophers.
10. Modality / A. Necessity / 6. Logical Necessity
Logical possibility needs the concepts of the proposition to be adequate [Boulter]
     Full Idea: One can only be sure that a proposition expresses a genuine logical possibility if one can be sure that one's concepts are adequate to things referred to in the proposition.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 4)
     A reaction: Boulter says this is a logical constraint place on logical possibility by the scholastics which tends to be neglected by modern thinkers, who only worry about whether the proposition implies a contradiction. So we now use thought experiments.
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 / A. Knowledge / 2. Understanding
It is nonsense that understanding does not involve knowledge; to understand, you must know [Dougherty/Rysiew]
     Full Idea: The proposition that understanding does not involve knowledge is widespread (for example, in discussions of what philosophy aims at), but hardly withstands scrutiny. If you do not know how a jet engine works, you do not understand how it works.
     From: Dougherty,T/Rysiew,P (Experience First (and reply) [2014], p.24)
     A reaction: This seems a bit disingenuous. As in 'Theaetetus', knowing the million parts of a jet engine is not to understand it. More strongly - how could knowledge of an infinity of separate propositional truths amount to understanding on their own?
To grasp understanding, we should be more explicit about what needs to be known [Dougherty/Rysiew]
     Full Idea: An essential prerequisite for useful discussion of the relation between knowledge and understanding is systematic explicitness about what is to be known or understood.
     From: Dougherty,T/Rysiew,P (Experience First (and reply) [2014], p.25)
     A reaction: This is better. I say what needs to be known for understanding is the essence of the item under discussion (my PhD thesis!). Obviously understanding needs some knowledge, but I take it that epistemology should be understanding-first. That is the main aim.
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
Rather than knowledge, our epistemic aim may be mere true belief, or else understanding and wisdom [Dougherty/Rysiew]
     Full Idea: If we say our cognitive aim is to get knowledge, the opposing views are the naturalistic view that what matters is just true belief (or just 'getting by'), or that there are rival epistemic goods such as understanding and wisdom.
     From: Dougherty,T/Rysiew,P (Experience First (and reply) [2014], p.17)
     A reaction: [compressed summary] I'm a fan of understanding. The accumulation of propositional knowledge would relish knowing the mass of every grain of sand on a beach. If you say the propositions should be 'important', other values are invoked.
14. Science / A. Basis of Science / 3. Experiment
Experiments don't just observe; they look to see what interventions change the natural order [Boulter]
     Full Idea: Experiments differ from observational studies in that experiments usually involve intervening in some way in the natural order to see if altering something about that order causes a change in the response of that order.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 2)
     A reaction: Not convinced by this. Lots of experiments isolate a natural process, rather than 'intervening'. Chemists constantly purify substances. Particle accelerators pick out things to accelerate. Does 'intervening' in nature even make sense?
14. Science / B. Scientific Theories / 1. Scientific Theory
Science begins with sufficient reason, de-animation, and the importance of nature [Boulter]
     Full Idea: Three assumptions needed for the emergence of science are central to medieval thought: that the natural order is subject to the principle of sufficient reason, that nature is de-animated, and that it is worthy of study.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 2)
     A reaction: A very illuminating and convincing observation. Why did Europe produce major science? The answer is likely to be found in Christianity.
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Our concepts can never fully capture reality, but simplification does not falsify [Boulter]
     Full Idea: While the natural order is richer than our conceptual representations of it, nonetheless our concepts can be adequate to real singulars because simplification is not falsification.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 1)
     A reaction: I don't know if 'simplification' is one of the faculties I am trying to identify. I suspect it is a common factor among most of our intellectual faculties. I love 'simplification is not falsification'. Vagueness isn't falsification either.
19. Language / E. Analyticity / 3. Analytic and Synthetic
Aristotelians accept the analytic-synthetic distinction [Boulter]
     Full Idea: Aristotle and the scholastics accept the analytic/synthetic distinction, but do not take it to be particularly significant.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 5)
     A reaction: I record this because I'm an Aristotelian, and need to know what I'm supposed to think. Luckily, I accept the distinction.
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
The facts about human health are the measure of the values in our lives [Boulter]
     Full Idea: The objective facts relating to human health broadly construed are the facts that measure the moral value of our actions, policies and institutions.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 6)
     A reaction: This is the Aristotelian approach to facts and values, which I thoroughly endorse. To say there is nothing instrinsically wrong with being unhealthy is an absurd attitude.