An Introduction to Philosophy, Issue 163 |
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Page 122
... doubt is a second - order doubt . It is not directly a doubt concerning such a proposition as “ A square has four sides . " The doubt is " tenuous " and " so to speak , metaphys- ical , " says Descartes . It is a doubt that may be ...
... doubt is a second - order doubt . It is not directly a doubt concerning such a proposition as “ A square has four sides . " The doubt is " tenuous " and " so to speak , metaphys- ical , " says Descartes . It is a doubt that may be ...
Page 238
George Nakhnikian. that God exists , he " doubts " all mathematical propositions . But to doubt all mathematical propositions is to doubt deduction itself . This last remark needs explaining . There are two problems involved in deduction ...
George Nakhnikian. that God exists , he " doubts " all mathematical propositions . But to doubt all mathematical propositions is to doubt deduction itself . This last remark needs explaining . There are two problems involved in deduction ...
Page 239
... doubt of mathematical propositions is that , once he professes this doubt , he can make no distinction between valid and invalid inference . For to doubt all mathematical propo- sitions is to doubt all necessarily true conditionals ...
... doubt of mathematical propositions is that , once he professes this doubt , he can make no distinction between valid and invalid inference . For to doubt all mathematical propo- sitions is to doubt all necessarily true conditionals ...
Contents
PRELIMINARY EXPLANATIONS ON THE NATURE | 3 |
THE ARGUMENT WITH CEPHALUS | 36 |
THE ARGUMENT WITH THRASYMACHUS | 46 |
Copyright | |
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assert assume assumption attentively believes awake believe attentively believes that q Cartesian Circle causal Cephalus clarity and distinctness clear and distinct clearly and distinctly cogito propositions concept conclusion consequences contingent proposition criterion of incorrigible deduce define definiendum definiens Descartes doubt dream argument entails evidence evil demon argument example experience explication father follows formal reality four sides G. E. Moore God's existence Haldane and Ross Hence idea imply incorrigible knowledge integer James know incorrigibly know with certainty logical positivists logical words logically necessary male parent material objects mathematical propositions Meditation mind mistaken nature necessarily false necessarily true propositions notion observation sentences omnipotence ontological argument option ought-judgments pain Peano's definition Peirce perceptual proposition philosophical Plato Polemarchus pragmatic premises principle of clarity proposition is corrigible proposition of kind prove question real definition reason self-contradictory sense square has four supremely perfect synthetic sentence Taj Mahal thing Thrasymachus tion