Hume's Problem: Induction and the Justification of Belief, ; Peter Lipton in the British Journal for the Philosophy of Science describes the book as "Delivered with pace and consistent intelligence" and suggests that it "covers a great deal of ground, including Hume's sceptical argument, the new riddle of induction, naturalised epistemology, reliabilism, scientific realism, deductivism, objective chances and Hume on miracles, all from a Bayesian perspective...often provocative and repeatedly enlightening."
Scientific Reasoning: the Bayesian Approach,, Open Court Publishing Company, 1989; 2nd ed 1993; 3rd ed 2005 - reviewed e.g.
Objecting to God, ;. The growth of science and a correspondingly scientific way of looking at evidence have for the last three centuries slowly been gaining ground over religious explanations of the cosmos and mankind's place in it. However, not only is secularism now under renewed attack from religious fundamentalism, but it has also been widely claimed that the scientific evidence itself points strongly to a universe deliberately fine-tuned for life to evolve in it. In addition, certain aspects of human life, like consciousness and the ability to recognise the existence of universal moral standards, seem completely resistant to evolutionary explanation. In this book Colin Howson analyses in detail the evidence which is claimed to support belief in God's existence and argues that the claim is not well-founded. Moreover, there is very compelling evidence that an all-powerful, all-knowing God not only does not exist but cannot exist, a conclusion both surprising and provocative.
Articles
His articles include:
'Evidence and Confirmation', and 'Induction and the Uniformity of Nature', A Companion to the Philosophy of Science, ed. W H Newton-Smith, Blackwell
'The Logic of Personal Probability', The Foundations of Bayesianism, eds. D. Corfield and J. Williamson, Dordrecht: Kluwer, 137-161
'Bayesian Evidence', in Observation and Experiment in the Natural and Social Sciences, ed. M Galavotti, Boston Studies in the Philosophy of Science, Dordrecht: Kluwer, 301-321
'Probability and Logic', Journal of Applied Logic, 1, 151-165
'Why Are We Here?', Short Letters to The Times, Times Books, London: Harpercollins, 167
'Ramsey's Big Idea', "Frank P. Ramsey. Critical Reassessment", ed. M.J. Frapolli, Thoemmes-Continuum