'Alone', 'on one's own' and 'by oneself'

Question

I was wondering if the following sentence mean the same:

1. I like to be alone most of the time.
2. I like to be on my own most of the time.
3. I like to be by myself most of the time.

Answer 1

Yes. They all refer to not being with anybody else, so you can use them interchangeably in the sentence you've given.