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David Hume, a Scottish thinker of the Enlightenment era, is the philosopher most often associated with induction. His formulation of the problem of induction can be found in An Enquiry concerning Human Understanding, §4. Here, Hume introduces his famous distinction between "relations of ideas" and "matters of fact".
Scottish philosopher David Hume first formulated the problem of induction, [12] arguing there is no non-circular way to justify inductive reasoning. That is, reasoning based on inferring general conclusions from specific observations. This is a problem because induction is widely used in everyday life and scientific reasoning, e.g.,
At 1740, David Hume [10] staked Hume's fork, [11] highlighted the problem of induction, [12] and found humans ignorant of either necessary or sufficient causality. [13] [14] Hume also highlighted the fact/value gap, as what is does not itself reveal what ought. [15]
Hume was born on 26 April 1711, as David Home, in a tenement on the north side of Edinburgh's Lawnmarket.He was the second of two sons born to Catherine Home (née Falconer), daughter of Sir David Falconer of Newton, Midlothian and his wife Mary Falconer (née Norvell), [14] and Joseph Home of Chirnside in the County of Berwick, an advocate of Ninewells.
The relevance and capacity of statistics to make inductive inferences and resolve (in some respect) the problem of induction, first formally raised by David Hume in A Treatise of Human Nature. [2] Issues arise involving sample size, such as cost and efficiency, are common, such as in polling and pharmaceutical research.
Statisticians and probability theorists have long debated about the use of various tools, assumptions, and problems relating to inductive inference in particular. [1] David Hume famously considered the problem of induction, questioning the logical foundations of how and why people can arrive at conclusions that extend beyond past experiences - both spatiotemporally and epistemologically. [9]
Near 1740, David Hume, in Scotland, identified multiple obstacles to inferring causality from experience. Hume noted the formal illogicality of enumerative induction—unrestricted generalization from particular instances to all instances, and stating a universal law—since humans observe sequences of sensory events, not cause and effect.
Hume's strong empiricism, as in Hume's fork as well as Hume's problem of induction, was taken as a threat to Newton's theory of motion. Immanuel Kant responded with his Transcendental Idealism in his 1781 Critique of Pure Reason, where Kant attributed to the mind a causal role in sensory experience by the mind's aligning the environmental input by arranging those sense data into the experience ...