## Our Knowledge of the External World as a Field for Scientific Method in Philosophy |

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abstract actual analysis appearances argument Aristotle aspects assume assumption atomic facts belief belongs Bergson called causal laws cause colour consider consists continuity correlation deﬁned derived Descartes desire diﬂiculties doctrine empirical encloses equal event evolutionism example existence ﬁnd ﬁnite numbers ﬁrst geometry Georg Cantor given Hegel hypothesis imagination important induction inferred inﬁnite collection inﬁnite numbers intuition kind knowledge lecture Leibniz logic mathematical mathematical induction mathematical logic mathematicians means merely metaphysical method motion nature number of points number of terms objects of sense Parmenides PAUL CARUS perceived perspective space philosophy physics points and instants portraits positions possible premisses present principle problem propositions prove Pythagoras question realise reality reason regard relation scientiﬁc sensation sense-data sensible objects simultaneous Socrates square supposed symmetrical relation theory thing thought tion touch traditional true truth universe vellum veriﬁed volitions whole wholly precedes world of sense Zeno Zeno’s