- #1
bacte2013
- 398
- 47
Hello!
I am currently studying the analysis, and I have a quick question. Whenever i claim (in proof) that a statement P holds for some x in R, can I assume that P holds true for some arbitrary numbers in R but not for all possible numbers in R? What is a difference between the terms "holds" and "holds true"? I know this is a subtle problem, but I am actually quite confused about it.
I am currently studying the analysis, and I have a quick question. Whenever i claim (in proof) that a statement P holds for some x in R, can I assume that P holds true for some arbitrary numbers in R but not for all possible numbers in R? What is a difference between the terms "holds" and "holds true"? I know this is a subtle problem, but I am actually quite confused about it.