What subject/field am I looking for?

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The discussion focuses on studying the ethics surrounding the use of living organisms, such as animals for food and research. Participants seek to understand the moral arguments for and against these practices. The conversation highlights the relevance of philosophy in addressing these ethical dilemmas. Peter Singer, a prominent philosopher, is mentioned as a key figure whose work explores these issues. The topic is rooted in ethical considerations about the treatment of animals and the implications of using them for human purposes.
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I need to study the ethics of people using things for their own purposes, such as cattle for food or animals for research. I need to understand the arguments supporting and opposing these parts of our lives, that it is or is not right to take and use living organisms for various purposes. Is this covered in a philosophy discussion or some other forum? Is there a term for this argument?
 
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Peter Singer is an Australian philosopher/ethicist that has written a lot about this topic. Try looking up some of his articles, or get a hold of one of his books.
 
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TL;DR Summary: cannot find out error in solution proposed. [![question with rate laws][1]][1] Now the rate law for the reaction (i.e reaction rate) can be written as: $$ R= k[N_2O_5] $$ my main question is, WHAT is this reaction equal to? what I mean here is, whether $$k[N_2O_5]= -d[N_2O_5]/dt$$ or is it $$k[N_2O_5]= -1/2 \frac{d}{dt} [N_2O_5] $$ ? The latter seems to be more apt, as the reaction rate must be -1/2 (disappearance rate of N2O5), which adheres to the stoichiometry of the...

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