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The work surveys the historical development and philosophical foundations of central scientific concepts—space, time, number, motion, cause, force, matter, organismal notions, and methods—showing how they function as necessary ideas rather than empirical derivations. It examines perception and mathematical reasoning, the axioms underlying geometry and arithmetic, controversies over causation and force, and the establishment of statics, dynamics, and gravitational law. Emphasizing the interplay of induction, deduction, and metaphysical reflection, it maps debates and proposes resolutions that aim to reconcile observed facts with the conceptual conditions that make scientific knowledge possible.
THE
PHILOSOPHY
OF THE
CLASSIFICATORY SCIENCES.
Where a certain apparent difference between things (although perhaps in itself of little moment) answers to we know not what number of other differences, pervading not only their known properties but properties yet undiscovered, it is not optional but imperative to recognise this difference as the foundation of a specific distinction.
John S. Mill, System of Logic, b. 1, ch. vii. § 4.