When is something considered to be a mathematical proof? [duplicate]












0












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This question already has an answer here:




  • What is a proof?

    14 answers




What exactly is a mathetmatical proof? From this question it's clear it doesn't require any special symbols.



From a question on another sites




[Computer] Viruses have no “cure.” It’s been mathematically proven that it is
always possible to write a virus that any existing antivirus program
can’t stop." [0]



[0] Secrets & Lies. Bruce Schneier. Page 154




In these contexts what does it even mean to be mathematically proven? Does it just mean logic was used?










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marked as duplicate by Lord Shark the Unknown, Blue, Ethan Bolker, Namaste, Cesareo Jan 24 at 0:17


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.














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    A mathematical proof is so if the community of mathematicians recognise it as such.
    $endgroup$
    – Mauro ALLEGRANZA
    Jan 23 at 19:36
















0












$begingroup$



This question already has an answer here:




  • What is a proof?

    14 answers




What exactly is a mathetmatical proof? From this question it's clear it doesn't require any special symbols.



From a question on another sites




[Computer] Viruses have no “cure.” It’s been mathematically proven that it is
always possible to write a virus that any existing antivirus program
can’t stop." [0]



[0] Secrets & Lies. Bruce Schneier. Page 154




In these contexts what does it even mean to be mathematically proven? Does it just mean logic was used?










share|cite|improve this question









$endgroup$



marked as duplicate by Lord Shark the Unknown, Blue, Ethan Bolker, Namaste, Cesareo Jan 24 at 0:17


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.














  • 1




    $begingroup$
    A mathematical proof is so if the community of mathematicians recognise it as such.
    $endgroup$
    – Mauro ALLEGRANZA
    Jan 23 at 19:36














0












0








0





$begingroup$



This question already has an answer here:




  • What is a proof?

    14 answers




What exactly is a mathetmatical proof? From this question it's clear it doesn't require any special symbols.



From a question on another sites




[Computer] Viruses have no “cure.” It’s been mathematically proven that it is
always possible to write a virus that any existing antivirus program
can’t stop." [0]



[0] Secrets & Lies. Bruce Schneier. Page 154




In these contexts what does it even mean to be mathematically proven? Does it just mean logic was used?










share|cite|improve this question









$endgroup$





This question already has an answer here:




  • What is a proof?

    14 answers




What exactly is a mathetmatical proof? From this question it's clear it doesn't require any special symbols.



From a question on another sites




[Computer] Viruses have no “cure.” It’s been mathematically proven that it is
always possible to write a virus that any existing antivirus program
can’t stop." [0]



[0] Secrets & Lies. Bruce Schneier. Page 154




In these contexts what does it even mean to be mathematically proven? Does it just mean logic was used?





This question already has an answer here:




  • What is a proof?

    14 answers








proof-writing soft-question






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asked Jan 23 at 19:21









northernernortherner

1253




1253




marked as duplicate by Lord Shark the Unknown, Blue, Ethan Bolker, Namaste, Cesareo Jan 24 at 0:17


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.









marked as duplicate by Lord Shark the Unknown, Blue, Ethan Bolker, Namaste, Cesareo Jan 24 at 0:17


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.










  • 1




    $begingroup$
    A mathematical proof is so if the community of mathematicians recognise it as such.
    $endgroup$
    – Mauro ALLEGRANZA
    Jan 23 at 19:36














  • 1




    $begingroup$
    A mathematical proof is so if the community of mathematicians recognise it as such.
    $endgroup$
    – Mauro ALLEGRANZA
    Jan 23 at 19:36








1




1




$begingroup$
A mathematical proof is so if the community of mathematicians recognise it as such.
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 19:36




$begingroup$
A mathematical proof is so if the community of mathematicians recognise it as such.
$endgroup$
– Mauro ALLEGRANZA
Jan 23 at 19:36










1 Answer
1






active

oldest

votes


















1












$begingroup$

A mathematical proof is a logical argument that proceeds from some assumptions to some conclusions. Symbols are not necessary. In my opinion, good proofs rely on words as much as possible, use symbols only when necessary.



The question you link to




Has it been mathematically proven that antivirus can't detect all
viruses?




has an answer that says the answer is "yes" if you accept a certain precisely stated set of assumptions and define "detect" precisely. Whether those assumptions capture the everyday meaning of "detect a computer virus" isn't a mathematical question.



Related:



How rigorous must my set theory proof be?



Why is there not a system for computer checking mathematical proofs yet (2018)?






share|cite|improve this answer









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  • $begingroup$
    Thanks, I was going to delete my question but your answer provides interesting information
    $endgroup$
    – northerner
    Jan 24 at 0:47


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









1












$begingroup$

A mathematical proof is a logical argument that proceeds from some assumptions to some conclusions. Symbols are not necessary. In my opinion, good proofs rely on words as much as possible, use symbols only when necessary.



The question you link to




Has it been mathematically proven that antivirus can't detect all
viruses?




has an answer that says the answer is "yes" if you accept a certain precisely stated set of assumptions and define "detect" precisely. Whether those assumptions capture the everyday meaning of "detect a computer virus" isn't a mathematical question.



Related:



How rigorous must my set theory proof be?



Why is there not a system for computer checking mathematical proofs yet (2018)?






share|cite|improve this answer









$endgroup$













  • $begingroup$
    Thanks, I was going to delete my question but your answer provides interesting information
    $endgroup$
    – northerner
    Jan 24 at 0:47
















1












$begingroup$

A mathematical proof is a logical argument that proceeds from some assumptions to some conclusions. Symbols are not necessary. In my opinion, good proofs rely on words as much as possible, use symbols only when necessary.



The question you link to




Has it been mathematically proven that antivirus can't detect all
viruses?




has an answer that says the answer is "yes" if you accept a certain precisely stated set of assumptions and define "detect" precisely. Whether those assumptions capture the everyday meaning of "detect a computer virus" isn't a mathematical question.



Related:



How rigorous must my set theory proof be?



Why is there not a system for computer checking mathematical proofs yet (2018)?






share|cite|improve this answer









$endgroup$













  • $begingroup$
    Thanks, I was going to delete my question but your answer provides interesting information
    $endgroup$
    – northerner
    Jan 24 at 0:47














1












1








1





$begingroup$

A mathematical proof is a logical argument that proceeds from some assumptions to some conclusions. Symbols are not necessary. In my opinion, good proofs rely on words as much as possible, use symbols only when necessary.



The question you link to




Has it been mathematically proven that antivirus can't detect all
viruses?




has an answer that says the answer is "yes" if you accept a certain precisely stated set of assumptions and define "detect" precisely. Whether those assumptions capture the everyday meaning of "detect a computer virus" isn't a mathematical question.



Related:



How rigorous must my set theory proof be?



Why is there not a system for computer checking mathematical proofs yet (2018)?






share|cite|improve this answer









$endgroup$



A mathematical proof is a logical argument that proceeds from some assumptions to some conclusions. Symbols are not necessary. In my opinion, good proofs rely on words as much as possible, use symbols only when necessary.



The question you link to




Has it been mathematically proven that antivirus can't detect all
viruses?




has an answer that says the answer is "yes" if you accept a certain precisely stated set of assumptions and define "detect" precisely. Whether those assumptions capture the everyday meaning of "detect a computer virus" isn't a mathematical question.



Related:



How rigorous must my set theory proof be?



Why is there not a system for computer checking mathematical proofs yet (2018)?







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Jan 23 at 19:30









Ethan BolkerEthan Bolker

45k553120




45k553120












  • $begingroup$
    Thanks, I was going to delete my question but your answer provides interesting information
    $endgroup$
    – northerner
    Jan 24 at 0:47


















  • $begingroup$
    Thanks, I was going to delete my question but your answer provides interesting information
    $endgroup$
    – northerner
    Jan 24 at 0:47
















$begingroup$
Thanks, I was going to delete my question but your answer provides interesting information
$endgroup$
– northerner
Jan 24 at 0:47




$begingroup$
Thanks, I was going to delete my question but your answer provides interesting information
$endgroup$
– northerner
Jan 24 at 0:47



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