When we can point to major technology that only exists because of government spending in basic research?
Things like computers and cell phones.
And all the weapons US manufacturers sell to the world.
Show me the major part of the economy that exists solely because of private spending?
I provided you with an entire list of things that were invented and pioneered by private individuals, not by government investment.
The problem is that you're relegating all things to the government. If the government did initial work, but the private sector took it over and ran with it, then you allocate it to the government (the internet). If the private sector did the intial work, but the government touched subsequent work, and helped advance it further, then you allocate it to the government (airplanes). So by your logic, if the government touches it in any fashion at all, regardless of how large or small an influence they have, then it gets allocated to the government side.
But this is hardly fair. The question was around innovation. I proposed that capitalism was better at allowing for innovation for a larger variety of things. I specifically said that the government mostly invests in military applications, but that the private sector is more willing to invest in other fields for invention and innovation. The fact that the government might recognize a good thing after it's been developed is irrelevant to my point.