Praxeology is a theoretical and systematic, not a historical, science. Its scope is human action as such, irrespective of all environmental, accidental, and individual circumstances of the concrete acts. Its cognition is purely formal and general wit...
All nature has come to expect from God a sense of orderliness. Whatever God does carries with it His fingerprint. And in the world around us His fingerprint of orderliness is evident to anybody who is honest with the facts. If you look at nature, you...
Mathematicians call it “the arithmetic of congruences.” You can think of it as clock arithmetic. Temporarily replace the 12 on a clock face with 0. The 12 hours of the clock now read 0, 1, 2, 3, … up to 11. If the time is eight o’clock, and y...
The numbers were, at best, guesstimates, and all three men knew it. The relevant figure would ultimately be the one that represented the most they could possibly ask from Congress without raising too many questions. Whatever that sum turned out to be...
Logic, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding. The basic of logic is the syllogism, consisting of a major and a minor premise and a conclusion - thus: Major Premis...
I think a strong claim can be made that the process of scientific discovery may be regarded as a form of art. This is best seen in the theoretical aspects of Physical Science. The mathematical theorist builds up on certain assumptions and according t...
To the average mathematician who merely wants to know his work is securely based, the most appealing choice is to avoid difficulties by means of 's program. Here one regards mathematics as a formal game and one is only concerned with the question of ...
To the average mathematician who merely wants to know his work is securely based, the most appealing choice is to avoid difficulties by means of Hilbert's program. Here one regards mathematics as a formal game and one is only concerned with the quest...
They ordered punch. They drank it. It was hot rum punch. The pen falters when it attempts to treat of the excellence thereof; the sober vocabulary, the sparse epithet of this narrative, are inadequate to the task; and pompous term, jewelled, exotic p...
He who could write so easily, who could spend a thousand words down along his plunging fingers on the green-rubber keyboard of his machine, had stumbled like a first-grader over this single paragraph. A dozen times he had begun it and written into it...
We should not conclude from this that everything depends on waves of irrational psychology. On the contrary, the state of long-term expectation is often steady, and, even when it is not, the other factors exert their compensating effects. We are mere...
I was perplexed by the failure of teachers at school to address what seemed the most urgent matter of all: the bewildering, stomach-churning insecurity of being alive. The standard subjects of history, geography, mathematics, and English seemed perve...
Neoclassical economics has effectively insulated itself from the great advances made in science and engineering over the last 40 years. This self-imposed isolation must come to an end. For while the concepts of neoclassical economics appear difficult...
We shed as we pick up, like travellers who must carry everything in their arms, and what we let fall will be picked up by those behind. The procession is very long and life is very short. We die on the march. But there is nothing outside the march so...
Mutuality is accomplished by two whole persons; and if each partner truly intends to be but the fraction of a relationship (thinking my whole makes up half of us) he or she will soon discover that these halves do not fit perfectly together. The mathe...
Simplify? Let me try. In school days, we are taught that if there are four animals in a room and you add two more, the total will be six. That is logic. But behind this logic, there are underlying assumptions. Now, if somebody tells you, there are fo...
The great masters of modern analysis are , , and , who were contemporaries. It is interesting to note the marked contrast in their styles. is perfect both in form and matter, he is careful to explain his procedure, and though his arguments are genera...
Mowaljarlai rarely answered questions with an abstract explanation; he always told a story. His was not a fragmented world, divided into the convenient disciplinary languages and jargon that seem to be required for the understanding of concepts and p...
The staunchest conservatives advocate a range of changes which differ in specifics, rather than in number or magnitude, from the changes advocated by those considered liberal…change, as such, is simply not a controversial issue. Yet a common practi...
I entered Princeton University as a graduate student in 1959, when the Department of Mathematics was housed in the old Fine Hall. This legendary facility was marvellous in stimulating interaction among the graduate students and between the graduate s...
Before an experiment can be performed, it must be planned—the question to nature must be formulated before being posed. Before the result of a measurement can be used, it must be interpreted—nature's answer must be understood properly. These two ...
