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All the ideas for 'Mathematical Methods in Philosophy', 'Philosophy of Science: Very Short Intro (2nd ed)' and 'The Tragedy of Reason'

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35 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
You have to be a Platonist to debate about reality, so every philosopher is a Platonist [Roochnik]
     Full Idea: Everyone who enters into a debate about reality automatically becomes a Platonist. Since such debates are the essence of philosophy, every philosopher is a Platonist.
     From: David Roochnik (The Tragedy of Reason [1990], p.199)
     A reaction: This is correct
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Philosophy aims to satisfy the chief human desire - the articulation of beauty itself [Roochnik]
     Full Idea: Philosophy, the attempt to articulate the vision of beauty itself, is the attempt to satisfy the highest human desire.
     From: David Roochnik (The Tragedy of Reason [1990], p.120)
     A reaction: A million miles away from modern philosophy, but still an ideal to be taken seriously.
2. Reason / A. Nature of Reason / 2. Logos
'Logos' ranges from thought/reasoning, to words, to rational structures outside thought [Roochnik]
     Full Idea: Logos can mean i) a thought or reasoning, ii) the word which expresses a thought, iii) a rational structure outside human thought. These meanings give 'logos' an extraordinary range.
     From: David Roochnik (The Tragedy of Reason [1990], Intro. 12)
In the seventeenth century the only acceptable form of logos was technical knowledge [Roochnik]
     Full Idea: In the seventeenth century only a certain type of logos was deemed legitimate, namely that identified with technical knowledge (or 'techné').
     From: David Roochnik (The Tragedy of Reason [1990], Intro. 15)
The hallmark of a person with logos is that they give reasons why one opinion is superior to another [Roochnik]
     Full Idea: What is supposed to identify the person of logos from the one without is the commitment to giving reasons explaining why one opinion is superior to another.
     From: David Roochnik (The Tragedy of Reason [1990], Intro. 17)
Logos cannot refute the relativist, and so must admit that it too is a matter of desire (for truth and agreement) [Roochnik]
     Full Idea: Logos cannot refute the radical, consistent and self-conscious relativist. Therefore it must admit that, like the relativist, it itself is essentially a matter of desire. It wants to say what is right and wrong, true and false, and for others to agree.
     From: David Roochnik (The Tragedy of Reason [1990], p.108)
Human desire has an ordered structure, with logos at the pinnacle [Roochnik]
     Full Idea: Human desire has an ordered structure, with logos at the pinnacle.
     From: David Roochnik (The Tragedy of Reason [1990], p.109)
Logos is not unconditionally good, but good if there is another person willing to engage with it [Roochnik]
     Full Idea: Logos is not unconditionally good, but good contingent on there being some other person (out there) who is willing to talk with logos, to approach it even as an opponent.
     From: David Roochnik (The Tragedy of Reason [1990], p.175)
2. Reason / A. Nature of Reason / 4. Aims of Reason
We prefer reason or poetry according to whether basics are intelligible or not [Roochnik]
     Full Idea: Is the arché (basis) intelligible, or is it chaos? Upon this question hinges all, for answering it determines whether poetry or logos is the form of human speech that best does justice to the world.
     From: David Roochnik (The Tragedy of Reason [1990], p.139)
2. Reason / A. Nature of Reason / 8. Naturalising Reason
Modern science, by aiming for clarity about the external world, has abandoned rationality in the human world [Roochnik]
     Full Idea: The modern scientific world view, with all its hope for clarity and precision, has a flipside, …which is its abandonment of rationality in the world of human significance.
     From: David Roochnik (The Tragedy of Reason [1990], p.74)
2. Reason / A. Nature of Reason / 9. Limits of Reason
Unfortunately for reason, argument can't be used to establish the value of argument [Roochnik]
     Full Idea: Unfortunately for the logos there is no argument that can, without begging the question, establish the goodness of argumentation.
     From: David Roochnik (The Tragedy of Reason [1990], p.106)
Attempts to suspend all presuppositions are hopeless, because a common ground must be agreed for the process [Roochnik]
     Full Idea: To debate about suspending all our presuppositions requires a common ground which, upon being established, immediately renders the debate superfluous.
     From: David Roochnik (The Tragedy of Reason [1990], p.144)
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 / C. Structure of Existence / 2. Reduction
Multiple realisability is said to make reduction impossible [Okasha]
     Full Idea: Philosophers have often invoked multiple realisability to explain why psychology cannot be reduced to physics or chemistry, but in principle the explanation works for any higher-level science.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 3)
     A reaction: He gives the example of a 'cell' in biology, which can be implemented in all sorts of ways. Presumably that can be reduced to many sorts of physics, but not just to one sort. The high level contains patterns that vanish at the low level.
7. Existence / D. Theories of Reality / 3. Reality
Reality can be viewed neutrally, or as an object of desire [Roochnik]
     Full Idea: There are two extremes: the Aristotelian views reality simply as reality, and the sophist or poet view reality only as an object of desire.
     From: David Roochnik (The Tragedy of Reason [1990], p.199)
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.
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Relativism is a disease which destroys the possibility of rational debate [Roochnik]
     Full Idea: Relativism is disease, is pollution, for it negates the efficacy of logos. It destroys the possibility of a complete rational debate of fundamental questions.
     From: David Roochnik (The Tragedy of Reason [1990], p.41)
14. Science / A. Basis of Science / 3. Experiment
Randomised Control Trials have a treatment and a control group, chosen at random [Okasha]
     Full Idea: In the Randomised Controlled Trial for a new drug, patients are divided at random into a treatment group who receive the drug, and a control group who do not. Randomisation is important to eliminate confounding factors.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 2)
     A reaction: [compressed] Devised in the 1930s, and a major breakthrough in methodology for that kind of trial. Psychologists use the method all the time. Some theorists say it is the only reliable method.
Not all sciences are experimental; astronomy relies on careful observation [Okasha]
     Full Idea: Not all sciences are experimental - astronomers obviously cannot do experiments on the heavens, but have to content themselves with careful observation instead.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 1)
     A reaction: Biology too. Psychology tries hard to be experimental, but I doubt whether the main theories emerge from experiments.
14. Science / A. Basis of Science / 6. Falsification
The discoverers of Neptune didn't change their theory because of an anomaly [Okasha]
     Full Idea: Adams and Leverrier began with Newton's theory of gravity, which made an incorrect prediction about the orbit of Uranus. They explained away the conflicting observations by postulating a new planet, Neptune.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 1)
     A reaction: The falsificationists can say that the anomalous observation did not falsify the theory, because they didn't know quite what they were observing. It was not in fact an anomaly for Newtonian theory at all.
Science mostly aims at confirming theories, rather than falsifying them [Okasha]
     Full Idea: The goal of science is not solely to refute theories, but also to determine which theories are true (or probably true). When a scientist collects data …they are trying to show that their own theory is true.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 2)
     A reaction: This is the aim of 'accommodation' to a wide set of data, rather than prediction or refutation.
14. Science / B. Scientific Theories / 1. Scientific Theory
Theories with unobservables are underdetermined by the evidence [Okasha]
     Full Idea: According to anti-realists, scientific theories which posit unobservable entities are underdetermined by the empirical data - there will always be a number of competing theories which can account for the data equally well.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 4)
     A reaction: The fancy version is Putnam's model theoretic argument, explored by Tim Button. The reply, apparently, is that there are other criteria for theory choice, apart from the data. And we don't have to actually observe everything in a theory.
14. Science / B. Scientific Theories / 5. Commensurability
Two things can't be incompatible if they are incommensurable [Okasha]
     Full Idea: If two things are incommensurable they cannot be incompatible.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 5)
     A reaction: Kuhn had claimed that two rival theories are incompatible, which forces the paradigm shift. He can't stop the slide off into total relativism. The point is there cannot be a conflict if there cannot even be a comparison.
14. Science / C. Induction / 1. Induction
Induction is inferences from examined to unexamined instances of a given kind [Okasha]
     Full Idea: Some philosophers use 'inductive' to just mean not deductive, …but we reserve it for inferences from examined to unexamined instances of a given kind.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 2)
     A reaction: The instances must at least be comparable. Must you know the kind before you start? Surely you can examine a sequence of things, trying to decide whether or not they are of one kind? Is checking the uniformity of a kind induction?
14. Science / C. Induction / 6. Bayes's Theorem
If the rules only concern changes of belief, and not the starting point, absurd views can look ratiional [Okasha]
     Full Idea: If the only objective constraints concern how we should change our credences, but what our initial credences should be is entirely subjective, then individuals with very bizarre opinions about the world will count as perfectly rational.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 2)
     A reaction: The important rationality has to be the assessement of a diverse batch of evidence, for which there can never be any rules or mathematics.
19. Language / F. Communication / 1. Rhetoric
If relativism is the correct account of human values, then rhetoric is more important than reasoning [Roochnik]
     Full Idea: If relativism offers an accurate description of human values, then rhetoric replaces logos as the most fundamental human activity.
     From: David Roochnik (The Tragedy of Reason [1990], p.47)
     A reaction: Or putting it another way, logos (reason) becomes meaningless. I suppose, though, that a relativist can conduct conditional reasoning (but must belief in some rules of reason).
Reasoning aims not at the understanding of objects, but at the desire to give beautiful speeches [Roochnik]
     Full Idea: Logos originates not in a cognitive capacity for the apprehension of objects, but in the desire to give birth to beautiful speeches.
     From: David Roochnik (The Tragedy of Reason [1990], p.124)
     A reaction: It is hard for us to grasp this, but it might be quite life-enhancing if we could return to that old way of thought.
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
Galileo refuted the Aristotelian theory that heavier objects fall faster [Okasha]
     Full Idea: Galileo's most enduring contribution lay in mechanics, where he refuted the Aristotelian theory that heavier bodies fall faster than lighter.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 2)
     A reaction: This must the first idea in the theory of mechanics, allowing mathematical treatment and accurate comparisons.