Combining Texts

All the ideas for 'Unconscious Cerebral Initiative', 'First-Order Logic' and 'Hermeneutics: a very short introduction'

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16 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
We take part in objective truth, rather than observe it from a distance [Zimmermann,J]
     Full Idea: Hermeneutic thinkers insist that we need to redefine objective truth as something we take part in rather than something we merely observe from a distance.
     From: Jens Zimmermann (Hermeneutics: a very short introduction [2015], 1 'Truth')
     A reaction: Don't get it. If I objectively judge that there are some cows in a field, I judge that they will probably still be there if I turn away and forget them, so any passionate involvement I have with cows is irrelevant to the objective facts. Am I wrong?
Hermeneutic knowledge is not objective, but embraces interpretations [Zimmermann,J]
     Full Idea: In the hermeneutic ideal of knowledge, not distance but involvement, not impersonal observation but personal interaction, not thinking against prejudice or tradition but accessing knowledge through them, characterizes our perception of the world.
     From: Jens Zimmermann (Hermeneutics: a very short introduction [2015], 3 'Beyond')
     A reaction: To make this stick it will have to challenge scientific knowledge which results from mathematical summaries of measurements done by instruments. Is a stop watch an interpretation?
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W]
     Full Idea: A logic is a collection of closely related artificial languages, and its older meaning is the study of the rules of sound argument. The languages can be used as a framework for studying rules of argument.
     From: Wilfrid Hodges (First-Order Logic [2001], 1.1)
     A reaction: [Hodges then says he will stick to the languages] The suspicion is that one might confine the subject to the artificial languages simply because it is easier, and avoids the tricky philosophical questions. That approximates to computer programming.
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
     Full Idea: To have a truth-value, a first-order formula needs an 'interpretation' (I) of its constants, and a 'valuation' (ν) of its variables. Something in the world is attached to the constants; objects are attached to variables.
     From: Wilfrid Hodges (First-Order Logic [2001], 1.3)
There are three different standard presentations of semantics [Hodges,W]
     Full Idea: Semantic rules can be presented in 'Tarski style', where the interpretation-plus-valuation is reduced to the same question for simpler formulas, or the 'Henkin-Hintikka style' in terms of games, or the 'Barwise-Etchemendy style' for computers.
     From: Wilfrid Hodges (First-Order Logic [2001], 1.3)
     A reaction: I haven't yet got the hang of the latter two, but I note them to map the territory.
I |= φ means that the formula φ is true in the interpretation I [Hodges,W]
     Full Idea: I |= φ means that the formula φ is true in the interpretation I.
     From: Wilfrid Hodges (First-Order Logic [2001], 1.5)
     A reaction: [There should be no space between the vertical and the two horizontals!] This contrasts with |-, which means 'is proved in'. That is a syntactic or proof-theoretic symbol, whereas |= is a semantic symbol (involving truth).
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
     Full Idea: Downward Löwenheim-Skolem (the weakest form): If L is a first-order language with at most countably many formulas, and T is a consistent theory in L. Then T has a model with at most countably many elements.
     From: Wilfrid Hodges (First-Order Logic [2001], 1.10)
Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
     Full Idea: Upward Löwenheim-Skolem: every first-order theory with infinite models has arbitrarily large models.
     From: Wilfrid Hodges (First-Order Logic [2001], 1.10)
5. Theory of Logic / K. Features of Logics / 6. Compactness
If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W]
     Full Idea: Compactness Theorem: suppose T is a first-order theory, ψ is a first-order sentence, and T entails ψ. Then there is a finite subset U of T such that U entails ψ.
     From: Wilfrid Hodges (First-Order Logic [2001], 1.10)
     A reaction: If entailment is possible, it can be done finitely.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A 'set' is a mathematically well-behaved class [Hodges,W]
     Full Idea: A 'set' is a mathematically well-behaved class.
     From: Wilfrid Hodges (First-Order Logic [2001], 1.6)
12. Knowledge Sources / B. Perception / 1. Perception
In phenomenology, all perception is 'seeing as' [Zimmermann,J]
     Full Idea: That human perception is always a 'seeing as' was the cardinal insight of what Husserl called 'phenomenology'.
     From: Jens Zimmermann (Hermeneutics: a very short introduction [2015], 2 'Husserl's')
     A reaction: I presume that 'cardinal insight' means there is no possibility of Husserl being wrong about this. What's happening before you figure out what it is you are looking at?
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Libet says the processes initiated in the cortex can still be consciously changed [Libet, by Papineau]
     Full Idea: Libet himself points out that the conscious decisions still have the power to 'endorse' or 'cancel', so to speak, the processes initiated by the earlier cortical activity: no action will result if the action's execution is consciously countermanded.
     From: report of Benjamin Libet (Unconscious Cerebral Initiative [1985]) by David Papineau - Thinking about Consciousness 1.4
     A reaction: This is why Libet's findings do not imply 'epiphenomenalism'. It seems that part of a decisive action is non-conscious, undermining the all-or-nothing view of consciousness. Searle tries to smuggle in free will at this point (Idea 3817).
Libet found conscious choice 0.2 secs before movement, well after unconscious 'readiness potential' [Libet, by Lowe]
     Full Idea: Libet found that a subject's conscious choice to move was about a fifth of a second before movement, and thus later than the onset of the brain's so-called 'readiness potential', which seems to imply that unconscious processes initiates action.
     From: report of Benjamin Libet (Unconscious Cerebral Initiative [1985]) by E.J. Lowe - Introduction to the Philosophy of Mind Ch.9
     A reaction: Of great interest to philosophers! It seems to make conscious choices epiphenomenal. The key move, I think, is to give up the idea of consciousness as being all-or-nothing. My actions are still initiated by 'me', but 'me' shades off into unconsciousness.
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
The hermeneutic circle is between the reader's self-understanding, and the world of the text [Zimmermann,J]
     Full Idea: The 'hermeneutic circle' of understanding is not between the author and the reader, but between my understanding myself in my own world, and the world projected by the text, with its possibilities for life.
     From: Jens Zimmermann (Hermeneutics: a very short introduction [2015], 4 'How texts')
     A reaction: I'm not much of a fan of hermeneutics, but this idea seems quite important. Readings of Dickens in1860, 1930 and 2020 are very different events. For example, which parts catch the reader's interest, or jar with their sensibilities?
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Natural law theorists fear that without morality, law could be based on efficiency [Zimmermann,J]
     Full Idea: Natural law theorists fear that by denying the intrinsic connection between law and morality, positivists could encourage the validation of law based on efficiency alone.
     From: Jens Zimmermann (Hermeneutics: a very short introduction [2015], 6 'Natural')
     A reaction: The law's the law. The issue can only be whether one can ever be justified in breaking a law, and that isn't a legal question. I am sympathetic to the positiviists.
29. Religion / B. Monotheistic Religion / 2. Judaism
Traditionally, God dictated the Torah to Moses, unlike the later biblical writings [Zimmermann,J]
     Full Idea: Jewish traditionalists hold that the first five books of the Hebrew Bible (the 'Torah') were dictated word for word by God to Moses, while the remaining sacred writings were more generally inspired.
     From: Jens Zimmermann (Hermeneutics: a very short introduction [2015], 5 'Inspiration')
     A reaction: This gives the Torah a similar status to the Quran, and presumably also to the actual words which are ascribed to Jesus in the four gospels.