Understanding Inductive Reasoning in Scientific Methodology: Principles and Applications.
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Inductive reasoning, scientific methodology, empirical data, Newton law of universal gravitation, Francis Bacon, Aristotelian vision, Norm Organum, induction, deductive argument, celestial bodies, astronomical phenomena, Nicod's Criterion, inductivism, philosophical position, scientific knowledge, observation, a priori, generalization, validity, argument strength, confirmation, refutation, verification, hypothesis testing, empirical research, scientific inquiry, philosophical critique, Aristotelian science, Kepler's law, Newton's rules of reasoning, principle of parsimony, scientific instrument, natural laws, universal statement, instance confirmation, black crow paradox, scientific unification, free fall, gravitation laws, attraction laws.
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Unlock the Power of Inductive Reasoning in Scientific Discovery. Discover how the accumulation of singular observations can establish groundbreaking generalizations, as seen in Newton's Law of Universal Gravitation. Learn about the historical context of inductive reasoning, from Francis Bacon's critique of Aristotle's vision to Newton's 4 rules of reasoning. Understand the conditions necessary for strong inductive arguments, including a high number of observations, varied conditions, and the absence of conflicting statements. Explore how inductivism forms the core of scientific methodology, unifying phenomena such as free fall and celestial body gravitation. Dive into the world of scientific inquiry and uncover the true intellectual instrument of science: true induction.
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[...] Infutation Corroboration/Confirmation Refutation verification II- Inductive Argument and Deductive Argument - Inductive Reasoning: Accumulation of singular observations to establish a generalization. ? Individual ? Ensemble - Deductive Reasoning: General proposition from which one tries to derive a singular case. ? Ensemble ? Individuelle Example : For Newton, everything that is not inductive is useless. Definition of an argument It is an ensemble/series of connected propositions/premises whose purpose is to establish a conclusion. An argument can have several properties; we distinguish valid and true. [...]
[...] A scientific statement must be established as true by the objective use of the observer's senses. It is on this basis that laws/theories and scientific knowledge in general are constructed. The purpose of science is to explain and predict, so we must generalize from these singular statements. These general statements apply to the totality of events, in all places and at all times. The procedures from the singular to the universal are called: "Induction" It is inductive reasoning that allows, under certain conditions, to legitimize a certain series of statements, laws . [...]
[...] All inductive reasoning presupposes the principle of uniformity of nature 3. Inductive conclusions are only justified if the principle of uniformity of nature is 4. The PUN cannot be justified = No inductive conclusion is justified argument that is not logically valid ? What would need to happen to justify it historical critique A ? Hume on inductive reasoning Paradox of the Ravens Hempel, 1942 B ? How to confirm a hypothesis by induction? We must look for all positive instances with the hypothesis that will confirm it. [...]
[...] Introduction Science has a certain relationship to empirical data. The hypotheses/theories of sciences are confronted with empirical data. These are singular data/observations. But then, why are theories general? When one confronts a hypothesis, it is to evaluate it. The empirical data can be favorable or not to it. They confirm the hypothesis or refute/infirm it. ? We must find the relationship between H and E hypothesis, empirical data) How to characterize the confirmation of a data which brings or not, to a hypothesis When we talk about confirmation, it's that a data supports or reinforces our confidence in the hypothesis H. [...]
[...] Closing the loop (Sten, Smith, Harper) A good inductive reasoning, it is to make distinction and contradiction differ: « A conclusion can be incompatible with the premises if and only if a modified version of the premises can be derived from the conclusion in such a way that observation reveals it to be more precise than the original premise Critique of Induction Logical Critique Critique even of the reasoning: Hume ? problem of induction famous for having formulated one of the greatest philosophical problems The problem of induction: it is a logically invalid argument (to say that all A have been therefore this A will be B this is not valid) for him the only way to justify an induction ? prove that the course of the nature will remain the same (principle of uniformity of nature) 1. [...]
