I've said it before on this forum and I'll say it again... try Crotty, M. (1998) The Foundations of Social Research. Australia: Allen & Unwin
Can't recommend this book enough for clarifying philosophical stances. As regards deduction/induction, my understanding is that positivism is generally associated with a deductive approach. I think the general rule in academia is that if you can justify it and strongly argue, you can say pretty much anything you like! I would run it past your supervisor though.