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...

...1. 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 theTrivia game in the Canadian market and how in the past that correlated to some multiplier of success in the American economy. The TV guide game will not be the first Trivia game in the US market. The position of t
2. Why is it an opportunity for Bob Reiss?
I think opportunity is when timing, positioning, and talent align. Mr. Reiss had all three. If this particular opportunity would have happen 10 years before he would have been busy running his company and the timing would have been off. Had he not succeeded before he would not have been in position. His experience carried him a long way. Finally, he obviously had the talent from not only his educational background, but over the course of his career where it was continuously confirmed through successful endeavors.
3. Why did others contribute to Reiss’s success?
Bob Reiss had an alignment of experience, credibility, and knowledge. His foundation of experience commanded a level of attention to what he was talking about....

...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 character goes on amath rampage that drives him crazy. Scieszka and Smith do a great job a combining mathematical concepts as well as rhymes and brain games. The book is continuously rhyming accompanied by humorous art work that gives the story a kind of flow. Want a little bit of a challenge? Try answering a number of math questions asked throughout the book. The math used consisted mainly of patterns if not basic math of a 3rd grader. Fractions were mentioned but as any 3rd grader would be our main character was terrified of them. So much so that he may have considered answering the question in French instead of math.
Overall the book seemed good for the target audience. There was appealing art work on each page, as well as rhymes. The Rhyming scheme made a big difference because it made the story have a sense of flow. Our authors also made the story interesting for an older more sophisticated audience with the introduction of Ms. Fibonacci who...

...Article Review 1
DeGeorge, B., 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 visualize the math concepts and gain knowledge because they understand what they’re learning a whole lot better and they also are able to gain insights on those concepts. Different examples of manipulatives may include counting with beans or M&M’s, using pattern blocks, puzzles, tangrams, and flash cards, just to name a few.
Using manipulatives in a math class are beneficial to both the student and the teacher because the teacher is able to explain the concepts to the students in a much easier manner using the hands-on technique, rather than explaining it verbally. It’s especially beneficial to the student because by incorporating these manipulatives into their learning process, they are able to pick up the concepts much quicker and in a way that they better understand, yet are having fun while doing it. When they have the concepts down, the students’ self-esteem goes up and they feel encouraged to keep on going.
After...

...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. 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. 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. 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...

...
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 count to a million and about 32 years to count to a billion.
5. Forty’ is the only number that has all its letters in alphabetical order.
6. The National Pi Day ( π ) is March 14 at 1:59.
7. October 10 is National Metric Day.
8. Q: What mathematical symbol did math whiz Ferdinand vonLindemann determine to be a transcendental number in 1882?
A: Pi.
9. Q: What Greek math whiz noticed that the morning star andevening star were one and the same, in 530 B.C.? A: Pythagoras
10. Q: What's a flat image that can be displayed in three dimensions?
A: A hologram
11. Q: What do you call an angle more than 90 degrees and less than180 degrees?
A: Obtuse
12. Q: What's a polygon with four unequal sides called?
A: A quadrilateral
13. Simplify the expression (x+a)(x–b)(x+c) ··· (x–z)
14. Among all shapes with the same area circle has the shortest perimeter.
15. One is morally obligated not to do anything impossible.
16. In a group of 23 people, at least two...

...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
thousand
thousand
1,000,000
106
million
million
1,000,000,000
109
billion
thousand million
1,000,000,000,000
1012
trillion
billion
1,000,000,000,000,000
1015
quadrillion
thousand billion
1,000,000,000,000,000,000
1018
quintillion
trillion
As you can see, Americans name their numbers based on powers of 10 that are multiples of 3, while the British name theirs based on multiples of 6.
The implicit curve equation(x2+y2-1)3-x2y3=0 produces the heart shape.
The sum of the digits of a number which is a multiple of 9 is always 9, i
45 : 4+5 = 9
1980 : 1+9+8+0=18 : 1+8 = 9
214164 : 2+1+4+1+6+4=18 : 1+8 = 9
142857 is a cyclic number, i.e., its digits are rotated around when multiplied by any number from 1 to 6. Like this:
142857 × 1 = 142857
142857 × 5 = 7 14285
142857 × 4 = 57 1428
142857 × 6 = 857 142
142857 × 2 = 2857 14
142857 × 3 = 42857 1
MATHEMATICS :
Mathematics is the abstract study of...

...
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 resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

...
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 be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...