“why do you choose to live?”
This question is inherently linked with the following:
“what is the meaning of life?”
So in my view, addressing the second helps in answering the first.
Since you refer to me and my role as materialist, I think I have to cover two aspects in my reply:
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How a materialist identifies the meaning of life.
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What do I consider personally as the meaning of life.
For the first part: every school of thought (philosophical, religious, spiritual, etc) approaches such deep existential topic in a different way. When considering atheists in general, the spectrum of responses is so vast that I will be unfair to attempt to cover even remotely the totality of opinions. Instead, I will focus on two schools of “materialism”. I put the word in quotes, because Stoicism and Epicureanism I will refer to are ancient philosophies, and it is always problematic to attach modern terms in ancient schools of thought. My choice of these two is deliberate, since I want to demonstrate that non-religious philosophies realized very early the importance of existential questions and the proper handling that they require.
Both Stoicism and Epicureanism were identifying eudaimonia (i.e. happiness) as the main goal for a meaningful life. However, they followed different avenues on how to achieve that.
The Stoics considered virtues as the main goals that humans need to achieve. According to them, there are certain objective criteria for identifying virtues. Caring for the others, for example, was seen as natural and proper virtue.
On the other hand, Epicureans viewed pleasure as the ultimate goal of life. Avoidance of pain and fear is in the core of this philosophy. Epicurus identified three categories of pleasure: natural and necessary, natural but not necessary, and unnatural and unnecessary. Friendship, for example, held a place of outmost importance.
For the second part: As subjectivist myself, I approach this question from a different direction. I do not believe that life has an inherent, predetermined meaning. Instead, each individual should define their own purpose in life. My materialistic orientation drives me to consider happiness as purpose. However, I do not like the term pleasure, I have objections on the simplistic categorizations of Epicureans and I identify differently the criteria to achieve happiness.
Returning to the original question:
As materialist and subjectivist, I consider that regardless of how we try to approach happiness, life retains its value due to its unpredictability. Each day introduces unknown possibilities worth exploring. Or, as Cavafy (Greek poet, 1863-1933) expresses in his poem Ithaka:
“Always keep Ithaka in your mind.
To arrive there is your final destination.
But do not rush the voyage in the least.
Better it last for many years;
And once you’re old, cast anchor on the isle,
rich with all you’ve gained along the way,
expecting not that Ithaka will give you wealth.
Ithaka gave you the wondrous voyage:
Without her you’d never have set out.
But she has nothing to give you any more.
If then you find her poor, Ithaka has not deceived you.
As wise as you’ve become, with such experience, by now
you will come to know what Ithakas really mean.”
Postscript: With regard to Infinity: I consider that there is no beginning and end in cosmos (or universe, or multiverse, or however one likes to identify the assemblage of everything). If this is what you refer to as Infinity, then I do not deny it.