reader.py

paper = open("turing_paper_1936.txt", "rt")

for line in paper:
    print(line[:-1])

paper.close()

turing_paper_1936.txt

ON COMPUTABLE NUMBERS, WITH AN APPLICATION TO THE ENTSCHEIDUNGSPROBLEM

                            By A. M. TURING.

            [Received 28 May, 1936.—Read 12 November, 1936.]

The "computable" numbers may be described briefly as the real numbers whose 
expressions as a decimal are calculable by finite means. Although the subject
of this paper is ostensibly the computable numbers. it is almost equally easy 
to define and investigate computable functions of an integral variable or a 
real or computable variable, computable predicates, and so forth. The 
fundamental problems involved are, however, the same in each case, and I have 
chosen the computable numbers for explicit treatment as involving the least 
cumbrous technique. I hope shortly to give an account of the relations of the 
computable numbers, functions, and so forth to one another. This will include 
a development of the theory of functions of a real variable expressed in terms 
of com- putable numbers. According to my definition, a number is computable if 
its decimal can be written down by a machine.