"How do we portray the ur-conflict, the 'impossible relationship' between an old immovable object and a new irresistible force as they collided in antiquity? What shockwaves still reverberate from that Big Bang that was, for so long, an intra-Jewish religious schism, turning on the refusal of most Jews to adopt their neighbors’ view of the messiahship of Jesus?" These are questions posed by Steven Englund in the essay that leads our special four-part exchange on Catholic-Jewish dialogue. Jon D. Levenson, Donald Senior, and John Connelly respond to Englund as part of this wide-ranging discussion that considers the impact and influence of Nostra Aetate; considers historical anti-Semitism and anti-Judaism alongside contemporary anti-Zionism; questions the possibility of a framework for open-ended dialogue; and looks at how theological scholarship on Matthew continues to shape interpretations of supersessionsism.