Okay.
x86 is an invention that built on prevailing CISC ideas. RISC is an invention that built upon criticisms of CISC. The P6 core is an invention that blended the two. IA64 is an invention built to address criticisms of both CISC and RISC.
x86-64 is an extension of IA32 to 64bit.
You claimed that it is a 'new ISA'. That's hyperbole.
That's semantics not hyperbole.
x86 was born out of the Computer Terminal Corporation with IBM, Ti, intel and others. We'll just discount the history of computing because intel did it all on their own and it was just natural evolution anyways. (PS this is hyperbole)
I stand by the ISA statement. For it was AMD64 before it was x86-64. If it was to follow history it would of been x86, 286, 386...IA-32, IA-64 but it isn't. Intel caused this semantic nightmare with their use of IA-64 for the Itanium and previous monopolistic naming practices like Pentium.
If you look at the lists of ISAs every other architecture follows clear distinctions except x86. Which has this garbled mishmash of anti-competitive naming forks.