Q&A

What is mathematically impossible?

What is mathematically impossible?

“Mathematically impossible” just means impossible, but adds that it is the laws of physics and math that render impossible whatever is being discussed. You might also hear the phrase “scientifically impossible,” although perhaps not. The world is full of mathematical impossibilities; they are infinite in number.

What’s the hardest math problem ever?

These Are the 10 Toughest Math Problems Ever Solved

  • The Collatz Conjecture. Dave Linkletter.
  • Goldbach’s Conjecture Creative Commons.
  • The Twin Prime Conjecture.
  • The Riemann Hypothesis.
  • The Birch and Swinnerton-Dyer Conjecture.
  • The Kissing Number Problem.
  • The Unknotting Problem.
  • The Large Cardinal Project.

What is the most hardest equation?

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In 2019, mathematicians finally solved a math puzzle that had stumped them for decades. It’s called a Diophantine Equation, and it’s sometimes known as the “summing of three cubes”: Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.

What odds are considered to be impossible?

The probability of an impossible event is 0.

How do you prove a contradiction?

The steps taken for a proof by contradiction (also called indirect proof) are:

  1. Assume the opposite of your conclusion.
  2. Use the assumption to derive new consequences until one is the opposite of your premise.
  3. Conclude that the assumption must be false and that its opposite (your original conclusion) must be true.

Is a statement that can be proven?

In mathematics, a theorem is a statement that has been proved, or can be proved.

Is there a math proof that the statement is true?

And there is a math proof that the statement in the preceding 3 paragraphs is true. So math cannot explain whether the answer to the said question is true or false. There IS an answer, just that the math will NEVER get it. NOTE. Math is an incredibly powerful tool not only because it can solve hard practical problems.

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Is there something that math can’t explain?

Let’s get the prosaic answer out of the way at the outset: yes, there is something math can’t explain — everything. Most of the other answers seem to focus on unsolved or unsolvable problems within mathematics itself. It helps to start by keeping in mind the important differences between description vs. explanation.

Can science prove logical truth?

Logical Truths: These must be accepted as foundational presuppositions in order for us to engage in any scientific study, so we clearly can’t use science to prove logic. In fact, it is the other way around.

Is it acceptable to use abstract mathematics to prove anything?

Well, apparently you are allowed to use abstract maths to prove there is no reality making falsification almost impossible, but it is not acceptable in the 21st century to prove a model of reality using mathematics in isolation because that is “taking Physics off the table.”