Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
In this conversation with Ankit Mehra, IESE MBA and CEO & Co-Founder, of GyanDhan, we will discuss how prospective MBA students can finance their MBA education with education loans and scholarships.
What do András from Hungary, Pablo from Mexico, Conner from the United States, Giorgio from Italy, Leo from Germany, and Rishab from India have in common? They all earned top scores on the GMAT Focus Edition using the Target Test Prep course!
Grab 20% off any Target Test Prep GMAT Focus plan during our Flash Sale. Just enter the coupon code FLASH20 at checkout to save up to $320. The offer ends on Tuesday, April 30.
After just 3 months of studying with the TTP GMAT Focus course, Conner scored an incredible 755 (Q89/V90/DI83) on the GMAT Focus. In this live interview, he shares how he achieved his outstanding 755 (100%) GMAT Focus score on test day.
What do András from Hungary, Conner from the United States, Giorgio from Italy, Leo from Germany, and Saahil from India have in common? They all earned top scores on the GMAT Focus Edition using the Target Test Prep course!
intended for trained mathemematics Theorem: to prove that every real number is the result of divisions of two integers To prove this theorem, I will bring the term (one digit, two digit , three digit,... real numbers), they show how many digits beyond the natural (whole) numbers after the commas (points) R = Z: (10 ^ x), x different from the number zero b = {1,2,3,4,5,6,7,8,9} a = {0,1,2,3,4,5,6,7,8,9} possible values and a(b) R-real numbers, Z-whole numbers x = 1, Z : (10 ^ 1) = {Z Z.b} x = 2, Z : (10 ^ 2) = {Z, Z.b, Z.ab} x = 3, Z : (10 ^ 3) = {Z, Z.b, Z.ab, Z.aab} x = 4, Z : (10 ^ 4) = {Z, Z.b, Z.ab, Z.aab, Z.aaab} x = 5, Z : (10 ^ 5) = {Z, Z.b, Z.ab, Z.aab, Z.aaab, Z.aaaab} .... when the value of x is infinite, as the results are all real numbers This evidence proves that the real and rational numbers one and the same numbers to irrational numbers do not exist, set this theorem to their mathematics teachers, and this shows that the current mathematics is limited and that there are errors (this is one of the errors). All solutions are not shown because for this we need all the infinite states, but was given a sample (as well as natural (whole) numbers are not written all but given sample. You think differently from what you give in school.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
I'm not entirely sure from your wording of it, but I think you're referencing Georg Cantor's "diagonalization" proof that there can be no one-to-one mapping of Rational Numbers onto Irrational Numbers. However, from this, neither Cantor nor any of the mathematicians of his time concluded that their mathematics was incomplete; simply that there was a denser infinity of Irrational Numbers than Rational Numbers. In fact, if a = the size of the infinity of rational numbers (or of even numbers, or of odd numbers, or of integers, or of positive integers, etc. -- all of these "countable" sets have size "a") then, Cantor showed, irrational numbers have an infinity of the size 2^a.
The incompleteness of math is shown by Godel's 1931 Incompleteness Theorem. For an excellent discussion of this theorem (which can also be set up with a "diagonalization" proof, although that wasn't how Godel himself did it), written for laypeople, try this excellent classic text: https://www.amazon.com/G%C3%B6dels-Proo ... 621&sr=8-1
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.