Operating System Paging concept
I found (surprisingly many) copies of that text on the web (see
http://www.slideserve.com/janna/virtual-memory). That helps
ascertaining there is no vocabulary mismatch.

The 32-bit entry makes for $2^{32}$ physical (not logical as you write in
your comment) address space for pages, i.e. $2^{32}$ frames.  The address
of the logical page is used for indexing the page-table, and the 4
bytes content of the corresponding entry of the page table is the
address of a page frame, i.e. a physical page.

So you have $2^{32}$ physical pages. But there is nothing in the above text that tells the size of the logical space. It could be much larger, with logical page addresses of 8 bytes, or it could be smaller which did happen on some architectures. For more details on this, see this discussion regarding virtual memory on 32 bits hardware. There may be other issues with more recent 64 bits hardware. The size of the page-table would tell you what is the size of the virtual memory space, i.e. of logical addresses.

Does this clarifies the problem?