Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Convergence' and 'On Cruelty'

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21 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
Montaigne was the founding father of liberalism [Montaigne, by Gopnik]
     Full Idea: The first liberal, the founding father if we have one, is the great sixteenth century French essayist Michel de Montaigne.
     From: report of Michel de Montaigne (On Cruelty [1580]) by Adam Gopnik - A Thousand Small Sanities 1
     A reaction: He says this not on the basis of his politicies or achievements, but his general attitudes and values. It may be another hundred years before we can identify another obvious liberal (Locke?).
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.
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
There are 23 core brain functions, with known circuit, transmitters, genes and behaviour [Watson]
     Full Idea: In 2014 the National Institutes of Mental Health published a list of 23 core brain functions and their associated neural circuitry, neurotransmitters and genes, and the behaviour and emotions that go with them.
     From: Peter Watson (Convergence [2016], 16 'Physics')
     A reaction: They were interested in the functions behind mental health, but I am interested in the functions behind our belief systems, which might produce a different focus. Sub-functions, perhaps.
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Traditional ideas of the mind were weakened in the 1950s by mind-influencing drugs [Watson]
     Full Idea: One development in particular in the 1950s helped to discredit the traditional concept of the mind. This was medical drugs that influenced the workings of the brain.
     From: Peter Watson (Convergence [2016], 16 'Intro')
     A reaction: This explains Ryle's 1949 book, and the Australian physicalists emerging in the late 1950s. Philosophers don't grasp how their subject is responsive to other areas of human knowledge. Of course, opium had always done this.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Humans have been hunter-gatherers for 99.5% of their existence [Watson]
     Full Idea: Anthropology shows that the hunter-gathering lifestyle has occupied 99.5 per cent of the time humans have been on earth.
     From: Peter Watson (Convergence [2016], 13 'Emergence')
     A reaction: If you are trying to understand humanity, you ignore this fact at your peril. Even agriculture is only a tiny part of our history, and that only disappeared as a major human activity (in many nations) in the last hundred years.
26. Natural Theory / C. Causation / 7. Eliminating causation
The Uncertainty Principle implies that cause and effect can't be measured [Watson]
     Full Idea: The Uncertainty Principle implied that in the subatomic world cause and effect could never be measured.
     From: Peter Watson (Convergence [2016], 05 'Against')
     A reaction: The fact that it can't be measured does not, presumably, entail that it doesn't exist. Physicists seem to ignore causation, rather than denying it. Can causation be real if it only exists at the macro-level, as an emergent phenomenon?
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / a. Electrodynamics
The interference of light through two slits confirmed that it is waves [Watson]
     Full Idea: Thomas Young in 1803 confirmed the idea of Huyghens that light is waves, showing how light passing through two slits produces an interference pattern that resembles water waves sluicing through two slits.
     From: Peter Watson (Convergence [2016], 04 'Conception')
     A reaction: The great puzzle emerges when it also turns out to be quantised particles.
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
Electrons rotate in hyrogen atoms 10^13 times per second [Watson]
     Full Idea: In the hydrogen atom the electron rotates some 10,000 billion times per second.
     From: Peter Watson (Convergence [2016], 18 'Evolutionary')
     A reaction: That's an awful lot. Is it at the speed of light?
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Quantum theory explains why nature is made up of units, such as elements [Watson]
     Full Idea: Planck's quantum idea explained so much, including the observation that the chemical world is made up of discrete units - the elements. Discrete elements implied fundamental units of matter that were themselves discrete (as Dalton had said).
     From: Peter Watson (Convergence [2016], 4 'Intro')
     A reaction: The atomic theory was only finally confirmed by Einstein in 1905. This idea implies that the very lowest level of all must have distinct building blocks, but so far we have got down to 'fields', which seem to be a sort of 'foam'.
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Only four particles are needed for matter: up and down quark, electron, electron-neutrino [Watson]
     Full Idea: We need twelve particles in the master equation of the standard model, but it is necessary to have only four to build a universe (up and down quarks, the electron and the electron neutrino (or lepton). The existence of the others is 'a bit of a mystery'.
     From: Peter Watson (Convergence [2016], 11 'First Three')
27. Natural Reality / F. Chemistry / 1. Chemistry
The shape of molecules is important, as well as the atoms and their bonds [Watson]
     Full Idea: Pauling showed that the architecture - the shape of molecules was relevant (as well as the bonds). This meant that molecules were just as important as atoms in the understanding of matter. Molecules were not just the sum of their parts.
     From: Peter Watson (Convergence [2016], 05 'Three')
     A reaction: If Aristotle struggled to understand matter, then so should modern philosophers. This involves thermodynamics and chemistry, as well as quantum theory.
27. Natural Reality / G. Biology / 2. Life
In 1828 the animal substance urea was manufactured from inorganic ingredients [Watson]
     Full Idea: In 1828 Wöhler, in an iconic experiment, had manufactured an organic substance, urea, hitherto the product solely of animals, out of inorganic materials, and without any interventions of vital force.
     From: Peter Watson (Convergence [2016], 06 'Inorganic')
     A reaction: For reductionists like me, the gradual explanation of life in inorganic terms is the great role model of explanation. I take it for granted that the human mind will go the same way, despite partisan resistance from a lot of philosophers.
Information is physical, and living can be seen as replicating and preserving information [Watson]
     Full Idea: In passing information, physical changes take place, and information is thus physical. On this account, the act of living can be seen as replicating and preserving the information that a living body is comprised of.
     From: Peter Watson (Convergence [2016], 17 'Dreams')
     A reaction: [He emphasises 'the act' of living, rather than a life]