The term framework is very well defined: a framework is very similar to a library, except that Control is Inverted. (Inversion Of Control is the defining characteristic of what constitutes a framework.) IOW: you call a library, but a framework calls you.
Another way to think about it, is that you write an application, but leave all the un-interesting details blank and use libraries to fill them. A framework OTOH is an application. It is an application which has all the interesting details left blank for you to fill in. (Of course, in the code you use to fill in the blanks you can in turn call libraries yourself. Also, the framework itself will call libraries to implement its inner workings. And, frameworks usually come bundled with a rich set of libraries which are tightly integrated with the framework. However, the distinction is still clear. Just because the framework and the libraries ship together in one package doesn't mean there is no distinction.)
The term platform, however, is not so well defined. It is also heavily overloaded. In the context of porting native applications, it usually refers to the combination of CPU ISA (e.g. x86, AMD64, IA-64, POWER, MIPS, ARMv9, Sparc), hardware architecture (PC, CHRP, PReP, Mac), kernel (Linux, NT) and base libraries (POSIX, Win32, Core Foundation).
In the broader context of software development, "platform" usually literally means "that which your code stands on". For a native application, that could be basically the same as above, for a JVM application it could be the JVM plus the JRE plus OSGI.
Basically, you can take the metaphor quite literal: a platform allows you (i.e. your code) to stand on higher ground than you could without it.