Ennead I. 4. 3: Plotinus is arguing that happiness is fullness and completeness of life, and continues, according to the MSS. , οϋτω γρ ν οùδέ έπακτòν τò γαθòν ύπάρΧοι, ούδ' λλο τò ύποκείμενον άλλαΧόθεν γενόμενον παρέξει αύτò ν άγαθεναι. Mr. MacKenna translates the last phrase by ‘a life needing no foreign substance called in from a foreign realm to establish it in good ’; Ficinus by ‘neque aliud quicquam aliunde adueniens efficiet ut subiectum collocetur in bono.’ Ficinus is undoubtedly (...) right. τò ύποκειμέν means ‘the subject,’ which a few lines above has been identified with the λογικ ζωή. The passage should be corrected by writing τ, ύποκειμέν, dependent on γενόμενον, for τò úποκείμενον. (shrink)

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First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

Intuitionists and classical logicians use in common a large number of the logical axioms, even though they supposedly mean different things by the logical connectives and quantifiers — conquans for short. But Wittgenstein says The meaning of a word is its use in the language. We prove that in a definite sense the intuitionistic axioms do indeed characterize the logical conquans, both for the intuitionist and the classical logician.

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

A notion of resource-bounded Baire category is developed for the class PC[0,1] of all polynomial-time computable real-valued functions on the unit interval. The meager subsets of PC[0,1] are characterized in terms of resource-bounded Banach-Mazur games. This characterization is used to prove that, in the sense of Baire category, almost every function in PC[0,1] is nowhere differentiable. This is a complexity-theoretic extension of the analogous classical result that Banach proved for the class C[0, 1] in 1931.

Woodger discusses what he claims to be haldane's misunderstandings about his article "what do we mean by unborn?" these include primarily the structure of woodger's definitions. (staff).