Science begins first and foremost with educated guesses and informed hypotheses.
Correct.
It's a very good educated guess that life is rare in the galaxy. That is a very good informed hypothesis.
It is an ABSURD hypothesis.
We cannot even define what "life being rare in the galaxy" or "life being abundant in the galaxy" are. Would one planet with life for every 100 stars be "rare" or "abundant?"
We have never found a single sign of life anywhere else in our solar system.
We have only been to three or four places anywhere in our solar system. There might be life on moons of several planets...there might be life on places near to where we have been.
WE DO NOT KNOW IF THERE IS OTHER LIFE IN OUR SOLAR SYSTEM...and we sure as hell do not know if life is rare or abundant elsewhere in our galaxy. We also do not know if our galaxy is representative of galaxies in general with regard to life.
Why is it so hard to simply acknowledge that we do not know if life is rare or abundant (however that is eventually defined)...and leave it at that, while searching as best as possible for other life?
Why are you and others insisting that life is rare (once again, whatever that means)....or that a blind guess that it is rare is a hypothesis...and an educated/informed hypothesis at that?
The vast majority of exoplanets we discovered are almost certainly inhospitable for life because of temperature, chemistry, orbit.
What makes you so sure that there are no life forms that can exist in temperatures and chemistry that are DIFFERENT from what can exist here?
SETI has never detected tangible evidence of any artificial signal in the cosmic EM spectrum. Despite decades of trying.
My goodness..."decades of trying." In the context of a system existing in a universe that appears to have existed for almost 14 billion years, that is like looking for your car keys for less than one full second and determining that they are lost forever.
Biology is going to require chemical complexity. There is no atom that comes anywhere close to forming the amount and complexity of energetically stable chemical bonds to other atoms and molecules as carbon.
And we have no idea of when this occurs...besides the fact that we do not know if these supposed laws exist everywhere in our galaxy. Whether they are immutable...or relatively ephemeral.
Science fiction writers like to talk about silicon. Silicon does not come anywhere close to creating the numbers and complexity of bonds as carbon. If silicon based life were possible, why haven't we seen it on Earth? 4.5 billion years is plenty of time for evolution, silicon is way more abundant than carbon on our planet, and Earth is host to a vast array of thermal and chemical environments novel new forms of life could conceivably get toehold in.
I do not know the answer to that question...AND NEITHER DO YOU.