The question of whether INTPs lack empathy is a complex one, as it involves understanding the cognitive functions and personality traits associated with this personality type.

INTPs are known for their dominant cognitive function, Introverted Thinking (Ti), which is focused on analyzing and understanding systems, concepts, and logical frameworks. This function allows INTPs to excel in critical thinking, problem-solving, and objective analysis. However, it is important to note that empathy is not a cognitive function but rather an emotional and social skill.

Empathy is the ability to understand and share the feelings of others. It involves being able to put oneself in someone else's shoes, recognize their emotions, and respond with compassion and understanding. While INTPs may not naturally prioritize emotional connection and social interactions, it does not mean they lack empathy entirely.

The auxiliary function of INTPs is Extraverted Intuition (Ne), which enables them to explore various possibilities and perspectives. This function can contribute to their ability to understand different viewpoints and empathize with others. INTPs can use their Ne to imagine how others might feel or think in certain situations, even if they do not personally experience those emotions themselves.

However, INTPs may struggle with expressing empathy in a conventional manner. Their dominant Ti function tends to prioritize logical analysis over emotional understanding, which can make it challenging for them to connect with others on an emotional level. They may struggle to offer emotional support or comfort in the same way that individuals with dominant Feeling (F) functions might.

Additionally, INTPs may find it difficult to express their own emotions, which can further contribute to the perception that they lack empathy. They may struggle to articulate their feelings or may not prioritize emotional expression in their interactions with others.

It is important to remember that personality types are not definitive determinants of one's ability to empathize. While INTPs may have a natural inclination towards logical analysis and objectivity, they can still develop and cultivate empathy through self-awareness, practice, and a willingness to understand and connect with others emotionally.