There are two distinct parts of the Yeshiva, the Shem part and the Ever part. There has been an age-old rift because each side upholds a specific value as the goal of the Yeshiva and they cannot agree with each other.
The prophet Isaiah described this very well. The Ever folk promote athletic prowess as the ultimate goal. Thus, of Ever, Isaiah says in Chapter 40:
יַעֲלוּ אֵבֶר כַּנְּשָׁרִים יָרוּצוּ וְלֹא יִיגָעוּ יֵלְכוּ וְלֹא
Ever rises up like eagles; they run but do not become worn out, they
walk but do not tire.
The people of Shem, however, prioritize wisdom and displaying their beauty. Thus, of them, Isaiah states in Chapter 56:
וָשֵׁם טוֹב מִבָּנִים וּמִבָּנוֹת
And Shem is better than sons and daughters.
"Sons" is clearly a reference to what Isaiah told us in Chapter 54:
'וְכָל בָּנַיִךְ לִמּוּדֵי ה
And all your sons will be learned of the Lord.
"Daughters" is clearly a reference to what Isaiah said in Chapter 3:
גָבְהוּ בְּנוֹת צִיּוֹן וַתֵּלַכְנָה נטוות (נְטוּיוֹת) גָּרוֹן
וּמְשַׂקְּרוֹת עֵינָיִם הָלוֹךְ וְטָפֹף תֵּלַכְנָה וּבְרַגְלֵיהֶם
The daughters of Zion are haughty, and walk with stretched out necks
and wanton eyes, walking and mincing as they go, and making a tinkling
with their feet.
The people of Shem, then, have surpassed the "sons" in knowledge and have surpassed the "daughters" in the haughty display of beauty.