Final answer:
The aims of Phi Kappa Beta, mirroring those of 11th-century scholarly institutions, would be intellectual, focusing on developments in philosophy and theology and heightened by the rediscovery of Aristotle's emphasis on empiricism and rationalism.
Step-by-step explanation:
The goals of Phi Kappa Beta, a fictitious society, if it were modeled after historical societies of the 11th century, would primarily be intellectual. During this time, a significant increase in intellectual activity was driven by developments in philosophy and theology. The rediscovery of Aristotle's works led to an emphasis on empiricism and rationalism, key elements in scholarly advancement.
Figures like Peter Abelard and Peter Lombard were instrumental in integrating Aristotelian logic into theological discussions, enhancing the intellectual rigor of academic debates. The emergence of cathedral schools and the eventual establishment of universities underscored the period's commitment to intellectual pursuits over social ones. These institutions became the central hubs for scholarly activity, reflecting the shift in learning from monasteries to more communal and urban settings.