Order:
  1.  19
    The Logic of Implication.Noel Balzer - 1990 - Journal of Value Inquiry 24 (4):253-268.
    The principles that AN INSTANCE OF A CLASS IS THE CLASS and A CLASS IS AN INSTANCE OF ITSELF allow for the so called LAWS OF THOUGHTIDENTITY - WHAT IS, IS.CONTRADICTION - NOTHING BOTH IS and IS NOT.EXCLUDED MIDDLE - EVERYTHING IS or IS NOT.and allow us to adopt a bivalent system. Everything essential for primary logic is provided.Though this is not the place to discuss it, it should be noted that the development of general logic with its current theories (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  2.  6
    What is a Natural Number?Noel Balzer - 1988 - Journal of Value Inquiry 22 (2):103-113.
    Until the second half of the 19th century the natural numbers were regarded as given and not further analysable. The concept of a class as defined by mathematicians of the time, Seeming more fundamental, Was then used to define the natural numbers. Their definitions of a class are unsuitable because of paradoxes and other difficulties. In this paper a new definition of a class is stated, And from this the natural numbers are defined.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  3.  21
    “What is a Class?”.Noel Balzer - 1987 - Journal of Value Inquiry 21 (2):111-130.
    The argument of this paper suggests that for the last hundred years or so fundamental premisses of logic have been incorrect. From these premisses a vast superstructure has been developed which, it would seem, is no more meaningful than a game such as chess.The basic errors in current class theory, it seems to me, have impeded progress in the fields of mathematics and logic. I am certain that on the theory proposed, the correct definition of a natural number can be (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  4.  7
    The Paradoxes.Noel Balzer - 1992 - Journal of Value Inquiry 26 (2):189-197.
    The paradoxes act as restraints on undisciplined or erroneous reasoning and so perform a valuable role. The fact that they have resisted solution for so long suggests that the current systems of logic are defective. The paradoxes of set theory, in my opinion, completely condemn all the current forms of set theory and their associated definitions of the natural numbers. Nothing short of a complete review of the whole area seems capable of remedying the situation.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  5.  5
    The Logic of Arithmetic.Noel Balzer - 1989 - Journal of Value Inquiry 23 (2):99-121.
    If true, this is one the the most important papers in the history of mathematics. the natural numbers are defined and one to one correspondence between the natural numbers is made precise. the paper deals with the very fundamentals of arithmetic and the logical principles differ quite markedly from those used by georg cantor.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  6.  13
    Classes and Inference.Noel Balzer - 1991 - Journal of Value Inquiry 25 (4):371-380.
  7.  8
    The Human Being as a Logical Thinker.Noel Balzer - 1992 - Journal of Value Inquiry 26 (4):547-556.
    The aim of this book is to explain human rationality. The fundamental principles of human thought are stated in terms of Balzer's Principles, and their operations in everyday life are illustrated. The natural numbers are defined and explained in a fresh fashion. Paradoxes, including those of class theory and material implication, which have signaled that all is not well in our logical systems, are laid to rest here. The explanation of human rationality has more than logical interest, for it touches (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  8. The Human Being as a Logical Thinker.Noel Balzer - 1993 - Brill | Rodopi.
    The aim of this book is to explain human rationality. The fundamental principles of human thought are stated in terms of Balzer's Principles, and their operations in everyday life are illustrated. The natural numbers are defined and explained in a fresh fashion. Paradoxes, including those of class theory and material implication, which have signaled that all is not well in our logical systems, are laid to rest here. The explanation of human rationality has more than logical interest, for it touches (...)
     
    Export citation  
     
    Bookmark