• ## YOUR MONDAY MATH with Mathematician KP Hart: Prime Number Systems

Here’s Mathematician KP Hart’s Math Question and Answer for Monday, March 28th! *********** You can write every number as a sum of prime numbers so that they can serve as a base for a number system However, the sum is not always unique; e.g., 6=2+2+2 en 6=3+3. Can we create some order in this so that we can also define other operations, like multiplication. Using only the prime numbers will lead to difficulties, as noted in the explanation, because the expression […]

• ## YOUR MONDAY MATH with Mathematician KP Hart: Grasping Infinity

How is it that humans cannot grasp the concept of infinity? Infinity is a notion that can make you dizzy and is related to various dimensions as space, time, mass and temperature. In the large (for example the ever expanding universe), in the small (the smallest particles that were discovered recently are not the smallest) and in the middle. I remember an episode of van Kooten and de Bie, where de Bie explains that to get from A to B you first have […]

• ## YOUR MONDAY MATH with Mathematician KP Hart – Happy Pi Day!!!

Here’s Mathematician KP Hart’s Math Question and Answer for Monday, March 14th! In celebration of Pi Day, Here are some questions that have to do with that wonderful number, π. ************ First, did you know Pizza Hut has a contest today? Solve three math problems of varying difficulty and win FREE pizza for 3.14 years! Check out the contest here! *********** Who invents π? “Who invents the endless series of numbers after 3.14?” The short answer: nobody. The long answer: nobody, because […]

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• ## YOUR FRIDAY MATH with Mathematician KP Hart: A Zero for Languages

Does there exist something for languages that is comparable to the number zero for mathematics and the exact science? The number zero connects various number systems and makes them universal, thus creating one powerful tool, with which science can attack its problems. Does there exist such a binding element for language, so that you will be able to connect philosophies and thus and thus end the Babylonian confusion of tongues in the world. I have discussed the number zero earlier […]

• ## YOUR MONDAY MATH with Mathematician KP Hart: DOES 0.9999 = 1?

Here’s Mathematician KP Hart’s Math Question and Answer for Monday, March 7th! *********** Is 0.99999etc (so, with infinitely many nines after the decimal point) equal to 1? This was the first question that was written about in this blog. The answer was and is: yes, 0.99999…=1. You can look at this equality in a slightly different way and justify it by starting from 1 and find a decimal expansion of that number; I write `a’ because some numbers have more than […]

• ## YOUR FRIDAY MATH with Mathematician KP Hart – Original Music

Here’s Mathematician KP Hart’s Math Question and Answer for Friday, March 4th! Can original music keep being composed until infinity? It surprises me that for centuries people have composed music, using just one octave and a few sharps and flats, without repetitions So that we can do a few calculations we restrict ourselves to the terms mentioned in the explanation: octave, sharp, flat. By combining notes with sharps and flats we can mark off twelve positions in one octave that are […]

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• ## YOUR MONDAY MATH with Mathematician KP Hart – Logics

Here’s Mathematician KP Hart’s Math Question and Answer for Monday, February 22nd! Logics Is there a complete list of logics and can they given a common denominator or integrated by means of an algorithm (meta-logic, universal logic)? The list of logics is long: predicate logic, modal logic, many-valued logic, non-monotone logic, preferential logic, intuitionistic logic, para-consistent logic, temporal logic, ‘fuzzy logic’ and ‘relevance logic’. But how are these logics related, is there a system to be discovered or to be created, […]

• ## YOUR MONDAY MATH with Mathematician KP Hart – What Does the Infinite Look Like?

Here’s Mathematician KP Hart’s Math Question and Answer for Monday, February 1st! Why can’t I imagine what the infinite looks like? When I think of the infinite then I do not get any images. Can people do this, and why can’t our brains deal with this? In some sense, this question is a case of `question begging’: the question assumes that an earlier question, “What is the infinite?” already has an answer. Quite often the counter question, what one means by […]

• ## YOUR FRIDAY MATH with Mathematician KP Hart – The Shape of the Earth

In honor of the rapper B.o.B’s hilarious assertion that the Earth is flat and also in honor of Neil DeGrasse Tyson giving him the factual what-for, we though we’d put in our two cents from mathematician KP Hart’s point of view. (This post was published previously and brought back to life when this “controversy” happened) *********** Here’s Mathematician KP Hart’s Math Question and Answer for Friday, January 29th! This question was posed in the Dutch Science Agenda: Is the Earth round or flat or oval? […]

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• ## YOUR MONDAY MATH with KP Hart – Assumptions in Science

Here’s Mathematician KP Hart’s Math Question and Answer for Monday, January 25th! Aren’t there too many assumptions in science? Science builds its theories from existing assumptions such as the number zero. How can the conclusions then be seen as true? A similar question was discussed in this post. I do not know about All of Science but I can speak for Mathematics: we do our utmost to get rid of superfluous assumptions. A classical example is Euclidean Geometry. The five assumptions […]

• ## YOUR FRIDAY MATH with KP Hart – Reflections

Reflections? Does there exist a seamless transition from reflection in a circle (Inversion) to reflection in a line using real mirrors? So, I am looking for a seamless transition from the formula for Inversion to that of a reflection in a line. Can that be done with hollow mirrors? A (counter) question could be: what does `seamless transition’ actually mean? Mathematically we can give that a precise meaning by using limits. The picture above represents what symmetry/inversion with respect to […]

• ## YOUR MONDAY MATH with KP Hart: How Far is Infinity?

Here’s Mathematician KP Hart’s Math Question and Answer for Monday, January 18th! How far is infinity? One would say: infinitely far. But how far is that? It must stop once must it not? For mathematicians the answer is quite simple: ∞ lies beyond all real numbers of, equivalently, all natural numbers. We have a mental picture of the number line: it looks a bit like the open interval (-1,1) and the, imaginary, points that you would want to associate with -1 and 1 […]

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• ## YOUR FRIDAY MATH with KP Hart – Well-Posed Sudoku Puzzles

Here’s Mathematician KP Hart’s Math Question and Answer for Friday, January 15th! Sudoku 9×9 9 rows, 9 columns and the 9 squares contain the numbers 1 through 9. The 9×9 Sudoku puzzles have a number of digits. How many digits are minimally necessary so that the solution is unique? This question was answered in January 2012: a well-posed Sudoku puzzles needs at least 17 givens, that is, there are well-posed puzzles with 17 givens and no well-posed puzzles with 16 givens. […]

• ## YOUR MONDAY MATH with KP Hart: SAWING WOOD

Here’s Mathematician KP Hart’s Math Question and Answer for Monday, January 11th! What is wrong with the statement that something can stay divisible till infinity? To quote Walter de Rochebrune: distance does not exist. In one of the legendary broadcasts by Van Kooten and De Bie he told a story about a gnome who used a tiny saw to cut a branch in parts until a smaller gnome with an even smaller saw took over. This can go on indefinitely. In […]

• ## YOUR FRIDAY MATH with KP Hart – How Many People Will You Meet During Your Life?

Close Encounters Here’s Mathematician KP Hart’s Math Question and Answer for Friday, January 8th! How many different people will I meet during my life? In general: How many different people will a Dutch person meet during her life? A human being is a herd animal. There are very few people who succeed in staying alone for a long time. But how many different people do we actually meet in our life? Starting from a life expectancy of 80 years. Furthermore: Meeting […]

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