Recommended reading

General Mathematics

Mandelbrot,B.B. (1982), The fractal geometry of nature, W.H. Freeman and Company

Philosophy of Science

Johnson, W.E. (1924), Logic, Part III: The Logical Foundations of Science, Cambridge University Press.(https://archive.org/details/logic03john)

Probability

Bayesian-Inference, the way it should be.( http://www.bayesian-inference.com/index ); Statisticat, LLC

Briggs, Rachael (undated), The Metaphysics of Chance.

Good,I.J. (1965), The Estimation of Probabilities: An essay on modern Bayesian Methods, Research Monograph 30, The M.I.T. Press, Cambridge,Massachusett

Hájek, Alan, "Interpretation of Probability", The Stanford Encyclopedia of Philosophy (Winter 2012 Edition), Edward N. Zalter (ed.)

Keynes, John Maynard, A Treatise on Probability, Wildside Press LLC, 1920

Laplace, P. S., Marquis de (1778), Memoire sur les probabilites, Mem. Acad. Sci. Paris, 227-332 

Leech, Matthew (2005), A way of thinking about probability

van Fraassen,B.(1989) Laws and Symmetry,Oxford:Clarendon Press

Whittle, Peter (1992), Probability via Expectation, Third Edition, Springer Texts in Statistics, Springer-Verlag

Zabell, S.L. (2005), Symmetry and its discontents: essays on the history of inductive probability, Cambridge Studies in Probability, Induction and Decision Theory, August 2005, Cambridge University Press 

Social Sciences

Pareto,V. (1896), Cours d'economie politique, Droz, Geneva, Switzerland, ( http://www.jstor.org/stable/1817428?seq=1#page_scan_tab_contents )

Zipf, G.K. (1949), Human behaviour and the  principle of least effort, Addison-Wesley