Carnaps work in the foundations of logic and mathematics from a contem porary perspective in light of what we now know about the foundations of mathematics and to a lesser degree the foundations of physics in addition to its intrinsic historical interest a study of carnaps views on the founda. Foundations of mathematics is the study of the philosophical and logical and or algorithmic basis of mathematics or in a broader sense the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics in this latter sense the distinction between foundations of mathematics and philosophy of mathematics turns out to be quite vague. Get this from a library foundations logic language and mathematics hugues leblanc elliott mendelson alex orenstein the more traditional approaches to the history and philosophy of science and technology continue as well and probably will continue as long as there are skillful practitioners such as carl hempel . Foundations logic language and mathematics edited by hugues leblanc elliott mendelson and alex orenstein reprinted from synthese vol 60 nos 1 and 2 springer science business media bv. Foundations of mathematics the study of the logical and philosophical basis of mathematics including whether the axioms of a given system ensure its completeness and its consistencybecause mathematics has served as a model for rational inquiry in the west and is used extensively in the sciences foundational studies have far reaching consequences for the reliability and extensibility of
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