Need to sort out terminology. I'm not entirely sure what you are referring to when you say "Paste"
Saying "paste" should always refer to 'solder paste' the stuff that looks like gray toothpaste.
If instead it's clear/yellow then it's either flux gel or liquid flux.
Mmmmm... not 100%.
1. In the past especially (and still commonly for plumbing), “solder
ing paste” was used to mean “paste flux [for soldering]”, and this was occasionally shortened to “solder paste”. It wasn’t until the much later invention of the solder-particles-suspended-in-flux that “solder paste” came around with the modern meaning. You can still sometimes find paste fluxes labeled “solder paste”.
2. Paste and gel flux are NOT exactly the same! Paste flux (for electronics) has historically been rosin flux dissolved in petroleum jelly, usually an amber color. (I have a tin of Kester SP-44 from the 80s, and a tube of Radio Shack paste flux from the 90s, both being rosin in petroleum jelly. The Radio Shack one is a thinner one, the Kester very, very stiff.) Modern gel fluxes, on the other hand, use solvents like glycol ethers and aromatic alcohols.
I’ll admit that there’s no clear line — fluxes exist in a fluid continuum from liquid to solid, with every viscosity in between. Nowadays, we often say “gel” for runnier pastes, and “paste” for thicker pastes. Kester doesn’t even bother — they just call them “tacky” fluxes.
3. Fluxes, whether liquid, gel, or paste, can be clear, yellow, or dark amber — or any shade in between.
Paste = solder paste, a mix of flux and tiny balls of solder used for soldering surface mount parts with hot air
Flux = a clear/yellow liquid or gel that you can add to joints to help improve soldering
Solder = A metal wire that melts under 450C/842F and has flux embedded inside it. It comes in two main categories, acid core solder for plumbing and electrical solder for electronics
No. Solder is the alloy. “Flux core solder wire” is what you described here.