A two strain HIV/AIDS model with treatment which allows AIDS patients with sensitive HIV-strain to undergo amelioration is presented as a system of non-linear ordinary differential equations. The disease-free equilibrium is shown to be globally asymptotically stable when the associated epidemic threshold known as the basic reproduction number for the model is less than unity. The centre manifold theory is used to show that the sensitive HIV-strain only and resistant HIV-strain only endemic equilibria are locally asymptotically stable when the associated (...) reproduction numbers are greater than unity. Qualitative analysis of the model including positivity, boundedness and persistence of solutions are presented. The model is numerically analysed to assess the effects of treatment with amelioration on the dynamics of a two strain HIV/AIDS model. Numerical simulations of the model show that the two strains co-exist whenever the reproduction numbers exceed unity. Further, treatment with amelioration may result in an increase in the total number of infective individuals (asymptomatic) but results in a decrease in the number of AIDS patients. Further, analysis of the reproduction numbers show that antiretroviral resistance increases with increase in antiretroviral use. (shrink)

The notion that our society, its education system and its intellectual life, is characterised by a split between two cultures – the arts or humanities on one hand, and the sciences on the other – has a long history. But it was C. P. Snow's Rede lecture of 1959 that brought it to prominence and began a public debate that is still raging in the media today. This 50th anniversary printing of The Two Cultures and its successor piece, A Second (...) Look features an introduction by Stefan Collini, charting the history and context of the debate, its implications and its afterlife. The importance of science and technology in policy run largely by non-scientists, the future for education and research, and the problem of fragmentation threatening hopes for a common culture are just some of the subjects discussed. (shrink)

The notion that our society, its education system and its intellectual life, is characterised by a split between two cultures – the arts or humanities on one hand and the sciences on the other – has a long history. But it was C. P. Snow's Rede lecture of 1959 that brought it to prominence and began a public debate that is still raging in the media today. This fiftieth anniversary printing of The Two Cultures and its successor piece, A Second (...) Look features an introduction by Stefan Collini, charting the history and context of the debate, its implications and its afterlife. The importance of science and technology in policy run largely by non-scientists, the future for education and research, and the problem of fragmentation threatening hopes for a common culture are just some of the subjects discussed. (shrink)

Offering an original perspective on the central project of Descartes' Meditations, this book argues that Descartes' free will theodicy is crucial to his refutation of skepticism. A common thread runs through Descartes' radical First Meditation doubts, his Fourth Meditation discussion of error, and his pious reconciliation of providence and freedom: each involves a clash of perspectives-thinking of God seems to force conclusions diametrically opposed to those we reach when thinking only of ourselves. Descartes fears that a skeptic could exploit this (...) clash of perspectives to argue that Reason is not trustworthy because self-contradictory. To refute the skeptic and vindicate the consistency of Reason, it is not enough for Descartes to demonstrate that our Creator is perfect; he must also show that our errors cannot prove God's imperfection. To do this, Descartes invokes the idea that we err freely. However, prospects initially seem dim for this free will theodicy, because Descartes appears to lack any consistent or coherent understanding of human freedom. In an extremely in-depth analysis spanning four chapters, Ragland argues that despite initial appearances, Descartes consistently offered a coherent understanding of human freedom: for Descartes, freedom is most fundamentally the ability to do the right thing. Since we often do wrong, actual humans must therefore be able to do otherwise-our actions cannot be causally determined by God or our psychology. But freedom is in principle compatible with determinism: while leaving us free, God could have determined us to always do the good. Though this conception of freedom is both consistent and suitable to Descartes' purposes, when he attempts to reconcile it with divine providence, Descartes's strategy fails, running afoul of his infamous doctrine that God created the eternal truths. (shrink)

In this interview, C. P. Goodman invites British Polanyi scholar Richard T. Allen to reflect on his interest in Polanyi’s philosophical ideas and share what he believes is valuable in his thought.

: The principle of alternative possibilities (PAP) says that doing something freely implies being able to do otherwise. I show that Descartes consistently believed not only in PAP, but also in clear and distinct determinism (CDD), which claims that we sometimes cannot but judge true what we clearly perceive. Because Descartes thinks judgment is always a free act, PAP and CDD seem contradictory, but Descartes consistently resolved this apparent contradiction by distinguishing between two senses of 'could have done otherwise.' In (...) one sense alternative possibilities are necessary for freedom and in another they are not. I discuss three possible interpretations of the two senses. (shrink)

Dan Baras has recently argued for the claim that Theistic Mathematical Platonism fares no better than Mathematical Platonism with respect to explaining why our mathematical beliefs are correlated with mind-independent mathematical truths. In this paper I argue that, insofar as TMP provides a proximate or local explanation for this truth-tracking correlation whereas MP fails to offer any corresponding explanation, Baras’s claim that TMP fares no better than MP with respect to explaining this correlation is false.

The principle of alternative possibilities (PAP) says that doing something freely implies being able to do otherwise. I show that Descartes consistently believed not only in PAP, but also in clear and distinct determinism (CDD), which claims that we sometimes cannot but judge true what we clearly perceive. Because Descartes thinks judgment is always a free act, PAP and CDD seem contradictory, but Descartes consistently resolved this apparent contradiction by distinguishing between two senses of 'could have done otherwise.' In one (...) sense alternative possibilities are necessary for freedom and in another they are not. I discuss three possible interpretations of the two senses. (shrink)