answersLogoWhite

0


Want this question answered?

Be notified when an answer is posted

Add your answer:

Earn +20 pts
Q: Can a theorem cannot have counterexamples?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

When was Counterexamples in Topology created?

Counterexamples in Topology was created in 1978.


How many pages does Counterexamples in Topology have?

Counterexamples in Topology has 244 pages.


How do you solve a remainder theorem?

You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.


Does science offer conclusive proof for a theory?

Sometimes Yes, as in Pythagoras' Theorem. Other times No, for as Godel's Incompleteness Theorem shows, there will be complete bodies of knowledge in which there will be truths that cannot be proven, and falsities which cannot be denied. [I paraphrase his theorem.]


Are there any similarities between a theorem and an axiom?

A theorem is a proved rule but an axiom cannot be proven but is stated to be true.


How do you work out pythagorean theorem with only one side?

You cannot.


How many counterexamples are required to prove that a conjecture is false?

One is enough.


Is every quadrilateral a parellelogram?

No. There are many counterexamples including trapezoids and kites.


Is PQR XYZ If so name which similarity postulate or theorem applies?

cannot be determined


Why Lami's theorem cannot be used for 4 concurrent forces?

Because, this theorem comes from the law of sines which is completely a triangle law and the law of sines can not be applied on other polygons.


Is TAG fig BAG If so identify the similarity postulate or theorem that applier's?

Cannot be determined.


Are there any limitations to pythagorean theorem?

The triangle concerned MUST be a right-angle triangle. If one of the angles is not 90 degrees, you cannot use the Pythagorean theorem! Also, it must be remembered that the theorem only involves the magnitudes (lengths of the sides), you can't use it on i-j-k vectors or the like, only their magnitudes. As a result, it cannot tell us anything about the directions or angles between lines. Other than that, the Pythagorean theorem is incredibly sound!