Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Letters' and 'On the Conservation of Force'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
When we admire a work, we see ourselves as its creator [Weil]
     Full Idea: It is impossible to admire a work of art without thinking oneself, in a way, its creator and without, in a sense, becoming so.
     From: Simone Weil (Letters [1940], 1940-03c)
     A reaction: This rings true for me. You almost see yourself making the brush strokes, or writing the phrase, or penning the chords. It is engagment which is essential for artistic experience. So all art lovers want to be artists?
25. Social Practice / B. Equalities / 1. Grounds of equality
Relationships depend on equality, so unequal treatment kills them [Weil]
     Full Idea: I conceive human relations solely on the plane of equality; therefore, so soon as someone begins to treat me as an inferior, human relations between us become impossible in my eyes.
     From: Simone Weil (Letters [1940], 1936-03)
     A reaction: Love that. This is precisely where equality starts. I fear that the problem is that people who don't treat others as equals don't want relationships with them, which particularly occurs in a competitive or hierarchical culture.
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
Helmholtz used 'energy' to mathematically link heat, light, electricity and magnetism [Helmholtz, by Watson]
     Full Idea: Helmholtz provided the requisite mathematical formulation linking heat, light, electricity and magnetism, by treating these phenomena as different manifestations of 'energy'.
     From: report of Hermann von Helmholtz (On the Conservation of Force [1847]) by Peter Watson - Convergence 01 'Human'
     A reaction: I'm increasingly struck by the neglect by philosophers of nature of these amazing developments in 19th century physics, because they prefer the excitement of the latest nuclear physics. There is more philosophical interest in the earlier stages.
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / c. Conservation of energy
All forces conserve the sum of kinetic and potential energy [Helmholtz, by Papineau]
     Full Idea: Helmholtz crucially asserted that all forces conserve the sum of kinetic and potential energy; superficially non-conservative forces like friction are simply macroscopic manifestations of more fundamental forces conserving energy at the micro-level.
     From: report of Hermann von Helmholtz (On the Conservation of Force [1847]) by David Papineau - Thinking about Consciousness App 4.3
     A reaction: Friction had been a problem case, because it appeared not to conserve energy when it slowed movement down.
29. Religion / B. Monotheistic Religion / 5. Bible
The cruelty of the Old Testament put me off Christianity [Weil]
     Full Idea: I have always been kept away from Christianity by its ranking the Old Testament stories, so full of pitiless cruelty, as sacred texts.
     From: Simone Weil (Letters [1940], 1941-01)
     A reaction: After 1938 she was a devout and intense Christian, but of a highly individual and platonist kind. Her religion is dominated by love and beauty.
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil]
     Full Idea: You attach great importance to the reasoning about immortality. I myself attach little. It is a factual question, which cannot be decided in advance by any reasoning. And what does it matter to us?
     From: Simone Weil (Letters [1940], 1937-04c)
     A reaction: I love 'what does it matter to us?'. The idea that our future bliss or misery depends on how we live now is an utterly wicked fiction, which derails attempts to live a proper life.