Do I have to say the words?
Do I have to tell the truth?
Do I have to shout it out?
Do I have to say a prayer?
Must I prove to you how good we are together?
Do I have to say the words?
Every Hebrew should look upon his Faith as a temple extending over every land to prove the immutability of God and the unity of His purposes.
The fundamental thesis of ordinary conventionalism, represented for instance by Poincare, states that there are problems which cannot be solved by appeal to experience unless one introduces a certain convention, since only such a convention, together with experimental data, makes it possible to solve the problem in question. The judgements which combine to make up such a solution are thus not
forced on us by empirical data alone, but their adoption depends partly on our recognition, since the said convention which co-determines the solution of the problem can be arbitrarily changed by us so that as a result we obtain different judgements.
In the present paper it is my intention to make that thesis of ordinary conventionalism more general and more radical. Namely, we want to
formulate and to prove the theorem that not only some, but all the judgements which we accept and which combine to make up our image of the world are not univocally determined by empirical data, but depend on the choice of the conceptual apparatus by means of which we make mappings of those empirical data. We can, however, choose this or that conceptual apparatus, which will change our whole image
of the world.
As a square number is known to be the product of a number multiplied by itself, so every polygonal number, multiplied by one number and added to another, both of which depend upon the number of its angles, produces a square number. I shall prove this, and shall show also how from a given side to find its polygon and conversely. Some auxiliary propositions must first be proved.
This too is a truth well known to everyone who has taken even a slight hold of culture, that freedom is an honorable thing, and slavery a disgraceful thing, and that honorable things are associated with good men and disgraceful things with bad men. Hence, it clearly follows that no person of true worth is a slave, though threatened by a host of claimants who produce contracts to prove their
ownership.