Switch to: Citations

Add references

You must login to add references.
  1. Explanation by induction?Miguel Hoeltje, Benjamin Schnieder & Alex Steinberg - 2013 - Synthese 190 (3):509-524.
    Philosophers of mathematics commonly distinguish between explanatory and non-explanatory proofs. An important subclass of mathematical proofs are proofs by induction. Are they explanatory? This paper addresses the question, based on general principles about explanation. First, a recent argument for a negative answer is discussed and rebutted. Second, a case is made for a qualified positive take on the issue.
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  • Why proofs by mathematical induction are generally not explanatory.Marc Lange - 2009 - Analysis 69 (2):203-211.
    Philosophers who regard some mathematical proofs as explaining why theorems hold, and others as merely proving that they do hold, disagree sharply about the explanatory value of proofs by mathematical induction. I offer an argument that aims to resolve this conflict of intuitions without making any controversial presuppositions about what mathematical explanations would be.
    Download  
     
    Export citation  
     
    Bookmark   32 citations  
  • Mathematical Induction and Explanation.Alan Baker - 2010 - Analysis 70 (4):681-689.
    Download  
     
    Export citation  
     
    Bookmark   12 citations