## The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of NumberThe Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis. The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology. |

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abstraction actually analytic assert axioms Baumann characteristics colour complete complex numbers concept equal concept F concept member concept of Number concept word connexion correlates deductions definite article direction distinction distinguish Erdmann edn example exists expression the number external things fact falling under F finite Number Frege geometrical give given Hankel hold idea individual numbers induction inference infinite intuition Jevons judgement judgement-content Kant laws of arithmetic laws of identity laws of number Leibniz magnitude mathematicians mathematics means Mill Moon natural numbers directly natural numbers ending North Sea Number which belongs number word numerical formulae numerical identity object falling object which falls one-one physical plurality possible posteriori predicate priori proof proposition proved psychological purely logical question relation f relation-concept series of natural Solon spatial speak statement of number subjective suppose symbol synthetic synthetic proposition tion true truths unit