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Theory of science

Theory of science. By Arve Meisingset. Theory of Science as Proof theory. Statements about classes of instances Hypothesis: x (xD  P(f(x))) For all apples (the apple hangs on a branch of a tree, then it is true that the apple bends the branch with the force F=g*m(apple))

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Theory of science

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  1. Theory of science By Arve Meisingset

  2. Theory of Scienceas Proof theory • Statements about classes of instances • Hypothesis: x (xD  P(f(x))) • For all apples (the apple hangs on a branch of a tree, then it is true that the apple bends the branch with the force F=g*m(apple)) • Popper’s falsification • x (xD  P(x))   x (xD  P(x)) • There exists an apple on a particular branch that both rests on a table, Hence, it is Not True that For all …

  3. Theory of knowledge • Statement about individual instances • This apple exists • This apple is red, or the redness of this apple exists System Nowegian Phenomena Data not denoting anything Isomorphism Phenomena not being denoted

  4. Arve’s views • Extreme nominalist; phenomena (both classes and instances) are data in some observer automaton; ref. the War of Universals • Phenomenologist; neither the real world nor concepts exist (the way phenomena exist), repeated observations organise the world of phenomena • Finitist; real numbers are functions with no stop condition, there exists no infinity, no continuity, and no sets; ref. Cantor • Constructivist; equations are just boundary conditions of algoritms; an equation without an algortm is an incomplete specification • Relativist; all phenomena must be refered to some observer phenomenon • Automaton; we cannot claim to more general than the automata we can describe without making claims which do not denote • etc.!

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