For those who are unaware, at least 1 and 2 are thanks to Georg Cantor and his invention of set theory. He had to endure a lot of resistance from the mathematical luminaries of his day - Kronecker and apparently, even Poincaré! Like Nietzsche, he died in a mental institution, the vicious attacks on his ideas (mostly by Kronecker) having supposedly played a part in Cantor's breakdown.

His mathematical ideas also ran afoul of some religious "philosophers" who, as is usually the case, are never ever open minded enough to consider truly groundbreaking ideas (virtually by definition, seeing as they are religionists). because "many mathematicians agreed with Kronecker that the completed infinite may be part of philosophy or theology, but that it has no proper place in mathematics".

Even the great Gauss, according to the wikipedia article was saying that "Infinity is nothing more than a figure of speech which helps us talk about limits. The notion of a completed infinity doesn't belong in mathematics", e.g. "the only access we have to the infinite is through the notion of limits, and hence, we must not treat infinite sets as if they have an existence exactly comparable to the existence of finite sets."

The irony, of course, is that when the notion of infinitesimals/limits were first introduced, they were ALSO subject to a very similar kind of criticism! (And as usual, religionists figured in such critcisms, most notably Bishop Berkeley).

Our perceptions can tell us "instantly" that all the chairs are taken, but beyond a certain single-digit number, we cannot conclude instantaneously how many chairs there are or people sitting on them.

Such a perceptual limitation seems to be what spurs humans to come up with the whole machinery of formal computation just as our physical limitations spurs us to invent the universe of devices we make use of in modern civilization. There are at least two "computers" in our brain. The visual one and the one that does...

...What is the opportunity in the Trivia game business?
-The opportunity is defined not only by the timing but the target position in the market and the leveraging of not only credibility from TV guide but the chance to access all the material and resources that go into TV. I know Mr. Kawasaki said partnerships are BS, but the partnership from Mr. Reiss’s perspective was absolutely essential. The research that was available based on the previous success of the Trivia...

...College Algebra, Pr. 2
March 25, 2015
Math Curse By: Jon Scieszka and Lane Smith
Math Curse, written by Jon Scieszka and Lane Smith, takes us on a journey with a small child who is cursed by math. His teacher’s name is Mrs. Fibonacci, who was a well know mathematician who connected a mathematical sequence found in nature. Of course Mrs. Fibonacci told her class and this child how easily math can be seen in the outside world. Our main...

...Santoro, A. (2004). “Manipulatives: A Hands-On Approach to Math.” Principal, 84 (2), (28-28).
This article speaks about the importance and significance of the use of manipulatives in the classroom, specifically in the subject of math. Manipulatives have proven to be valuable when used in a math class and are even more valuable to the children when they are young, and are learning new math concepts. Students are able to physically...

...1. What alternative designs for distilled liquor distribution in Michigan might be considered? Explain the rationale for your suggestions.
2. Discuss the benefits and risks of alternative designs for distilled liquor distribution. Which political, economic, geographic, or special interest group would exert the strongest influence on system redesign?
1. What alternative designs for distilled liquor distribution in Michigan might be considered? Explain the rationale for your suggestions.
2....

...
Math Facts & Trivias
1. The value of zero was first used by the ancient Indian mathematician Aryabhata.
2. The implicit curve equation (x2+y2-1)3-x2y3=0 produces the heart shape.
3. The Reuleaux Triangle is a shape of constant width other than a circle.
4. If each count were a second long, it would take about 12 days to...

...MATHTRIVIA
When is a billion not a billion?
Did you know that the American system for naming large numbers is not the same as the British system? What we call a billion, they call a thousand million. And what they call a billion, we call a trillion! And it continues from there. After a million, we do not agree on any of the names for large numbers. The chart below summarizes the differences.
Number
Power
of 10
American
Name
British
Name
1,000
103...

...
ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also...