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What is your collaboration quotient?


Networks and partnerships are the future of world mission.

Nothing significant will happen among the unreached without greater collaboration among Christian leaders, churches, and mission organizations.

I recently learned about an unusual mathematician who can teach us a lot about the value of collaboration.

His name is Paul Erdős (1913-1996).

erdos1992People often think of mathematicians as solitary geniuses, working away in isolation. And that is true of many mathematicians, but not Paul Erdős.

Erdős was a brilliant thinker who spent his adult career traveling the world, collaborating with other mathematicians on an incredible number of publications and creating solutions to outstanding problems.

Erdős worked with more than 500 collaborators and published more papers in his lifetime than any other mathematician (more than 1,500 papers)!

His influence was so important that mathematicians today rank themselves according to their “Erdős Number” – which is a measure of how closely a mathematician is connected to Paul Erdős.


The Erdős Number

Image credit: Map of Erdős connections from The Boy Who Loved Math: The Improbable Life of Paul Erdős, by Deborah Heiligman

Here’s how the “Erdős Number” works:

Anyone who collaborated directly with Paul Erdős would have an “Erdős Number” of +1. Anyone who collaborated with someone with an “Erdős Number” of +1 but had never directly collaborated with Paul Erdős himself would have an “Erdős Number” of +2. And so on down the chain of connections.

The number, diversity, and influence of people connected to Erdős even one or two steps away is astounding. Many people with an “Erdős Number” of +2 or +3 are Nobel Prize winners in a wide variety of fields including Physics, Chemistry, Medicine, Finance, Economics, etc.

Having an “Erdős Number” of +1, +2, or +3 is considered an honor among many accomplished mathematicians and scientists.


What if?

What if Christian leaders approached collaboration the way Paul Erdős did?

What if Christian leaders cared less about the number of their sole accomplishments than the number of their collaborators?

What if Christian leaders thought the same way about their own “collaboration quotient” as mathematicians today think of their “Erdős Number”?

I’m convinced that if we as Christian leaders took missional collaboration as seriously as Paul Erdős, we’d see numerous breakthroughs in world mission in the same way Erdős and his collaborators found answers to numerous unsolved problems.

The good news is that collaboration is becoming the default approach to mission – from local churches working together in their community to international mission agencies working together among the unreached.


Four positive trends

Here are four positive trends toward collaboration I see in the mission community:

1. Increasing awareness of networks

There is an increasing awareness of and openness to networks and partnerships around the world. Eldon Porter’s website currently tracks hundreds of networks in dozens of ministry fields around the world.

2. Donors investing directly to partnerships

The mission funding community is shifting more of their Kingdom investments toward projects initiated by networks and partnerships. Many major donors now explicitly ask grantees how they are working in partnership with others to accomplish the goals of their project proposals.

3. Inter-network cooperation

As advisors to numerous missional networks around the world, visionSynergy has the unique opportunity to see how networks are connecting with each other. For example, many networks share common operational challenges. We are seeing representatives of multiple networks come together to share knowledge and address particular issues such as information security and regionalization.

4. Collaboration-friendly organizations

There are thousands of churches and Christian organizations represented in the networks and partnerships visionSynergy currently serves. We often see the same people or same organizations involved in multiple networks. These people are the “Erdős” collaborators of the mission world and the increasing number of these collaboration-friendly organizations is a tremendous sign that the mission community is shifting to a new future.

Collaboration is the key that will reduce the duplication of our efforts, maximize the impact of our ministries, and strengthen the credibility of our witness for Christ.