Success as Proof of Virtue

Ivanka contrasts “proactive” people, who are “passionate and productive,” with “negative people,” those who are “swayed by the external and are frequently the victim of circumstance.” Her worldview, it turns out, is not so different from her father’s. Both see society through the lens of quasi-mystical corporate self-help, the sort pioneered by Norman Vincent Peale, author of The Power of Positive Thinking and a major influence on Donald Trump. In their schema, success is pr...

 Invisible Pink Unicorn

It is common when discussing the Invisible Pink Unicorn to point out that because she is invisible, no one can prove that she does not exist (or indeed that she is not pink). This is a parody of similar theistic claims about God—that God, as creator of the universe, is not subject to its laws and thus not physically detecting him tells us nothing about his existence or lack thereof. The Invisible Pink Unicorn is an illustration which attempts to demonstrate the absurdity of citing attribute...

 Expanding the Scope of School Subjects

We should not retreat to a curriculum advisory committee and ask, “Now where should we fit this topic into the already overloaded curriculum?” Although we cannot discard all the fragmented subjects in our present school system and start from scratch, we can and should ask all teachers to stretch their subjects to meet the needs and interests of the whole child. Working within the present subject-centered curriculum, we can ask math and science teachers as well as English and social studie...

 The Web is the Death of the Anecdote

Surveillance serves not just as a legal and historical record but as a record of rep: proof that you’ve done what you say you’ve done. You bark, and anyone on the mesh can search to see if you also bite. It’s the foundation of the reputation economy. It’s not just video, of course, but surveillance of all types. Ubiquitous, ever-present surveillance has become the new public record in countless habitats. You’ve seen the phrase, “Links or didn’t happen,” right? Without footage...

 The Mathematical Image

The proof is elegant and the result profound. Still, it is typical mathematics; so, it’s a good example to reflect upon. In doing so, we will begin to see the elements of the mathematical image, the standard conception of what mathematics is. Let’s begin a list of some commonly accepted aspects. By ‘commonly accepted’ I mean that they would be accepted by most working mathematicians, by most educated people, and probably by most philosophers of mathematics, as well. In listing them as...

 Proof That the Set of Prime Numbers is Infinite

Theorem: There are infinitely many prime numbers. Proof: Suppose, contrary to the theorem, that there is only a finite number of primes. Thus, there will be a largest which we can call p. Now define a number n as 1 plus the product of all the primes: n = (2 X 3 X 5 X 7 X 11 X...X p) 1 Is n itself prime or composite? If it is prime then our original supposition is false, since n is larger than the supposed largest prime p. So now let’s consider it composite. This means that it must be div...

 What Might Be VS What Is

It has hitherto been a serious impediment to the progress of knowledge, that is in investigating the origin or causes of natural productions, recourse has generally been had to the examination, both by experiment and reasoning, of what might be rather than what is. The laws or processes of nature we have every reason to believe invariable. Their results from time to time vary, according to the combinations of influential circumstances; but the process remains the same. Like the poet or the pa...

 If Time is the Eiffle Tower, Then Man is the Paint on the...

Man has been here 32,000 years. That it took a hundred million years to prepare the world for him is proof that that is what it was done for. I suppose it is, I dunno. If The Eiffel Tower were now to represent the world's age, the skin of paint on the pinnacle knob at its summit would represent man's share of that age; and anybody would perceive that the skin was what the tower was built for. I reckon they would, I dunno.

 Disproving Miracles

A miracle is a violation of the laws of nature; and as a firm and unalterable experience has established these laws, the proof against a miracle, from the very nature of the fact, is as entire as any argument from experience can possibly be imagined. Why is it more than probable, that all men must die; that lead cannot, of itself, remain suspended in the air; that fire consumes wood, and is extinguished by water; unless it be, that these events are found agreeable to the laws of nature, and t...

 Clash Between Facts and Theories Because Facts are Cultur...

No theory ever agrees with all the facts in its domain, yet it is not always the theory that is to blame. Facts are constituted by older ideologies, and a clash between facts and theories may be proof of progress. It is also a first step in our attempt to find the principles implicit in familiar observational notions.