I am probably an ignorant in the subject of analytical philosophy, but not in software projects.
There is no visible link of a software project and philosophy unless you qualify the rules of logical reasoning as a part of philosophy. Psychology however has a lot to do with software projects because psychological state of the team members affects the outcome.
Software projects starts with somebody's requirements and there is nothing philosophical about it.
Requirements analysis that follows, determines what exactly software needs to do to meet those requirements. This is identification of sources and sinks of information and methods of determining what goes into the sinks based on sources and requirements. This involves technical, mathematical and other domain knowledge combined with skills to express software design and implementation graphicaly and/or by variety of specialised languages.
The software as such can be an interesting subject to be studied by philosophy, but I don't see how it may affect software projects.
Maybe clarifying in what sense Software Project should be understood in this question would be a good idea. As Andrew stated, Software Project start with a requirement that can be solved computationally. The class of software project is huge and a great degree of variability exists between elements of this class.
As far as I understand analytical philosophy axioms are standard first order logic axiom, used to design a non ambiguous language. To that extent, analytical philosophy would relate more to compilers theory and formal grammar. These notions being used in software chain of production.
Software projects starts with somebody's requirements and there is nothing philosophical about it.
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Project logic (requirements) has all to do with analytic phylosophy. As long as Project requirements can't be specified logically , the Project doomed to fail.
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" The software as such can be an interesting subject to be studied by philosophy, but I don't see how it may affect software projects"
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Software does what it is ordered to do. Indeed analytic axioms will be of big help for Software aswell.
The problem is to assist Project managers by defining Project specification without keeping in mind all kinds of Software boundaries.
The good thing is that Relational concepts are an universal tool to assist Project manager and his companions to specify an unique logical Project foundation for Software implementations.
Relational concepts is the scientific bridge between Analytic Phylosophical axioms
Neglecting Phylosophical axioms will lead to logic failures
The Project challenge is to be acquainted with elementary Database know how.
The Software challenge is to integrate Project Data in the Software environment.