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Your link provides nothing and even says "After all, recent research suggests that some 9,100 of the past 10,500 years were warmer than the present by up to 3 Celsius degrees" without debunking it.
You are being lied to.
What you are showing everyone is a very common anti-climate science talking point.
I have confirmed the graph that you posted is directly refuted by the Skeptical Science article.
The graph in the Skeptical Science article looks different, but it is based on the same data by Easterbrook.
From the article:
1. Ice cores can't measure the very top layers accurately. The ice core data this graph is based on stops around 1855, and the "present global warming" part of the graph is manually drawn:
"Easterbrook plots the temperature data from the GISP2 core, as archived here. Easterbrook defines 'present' as the year 2000. However, the GISP2 'present' follows a common paleoclimate convention and is actually 1950. The first data point in the file is at 95 years BP. This would make 95 years BP 1855 — a full 155 years ago, long before any other global temperature record shows any modern warming."
2. The data is regional, showing Greenland temperatures, which vary more than global averages:
This argument is based on the work of Don Easterbrook who relies on temperatures at the top of the Greenland ice sheet as a proxy for global temperatures. That’s a fatal flaw, before we even begin to examine the use of the ice core data. A single regional record cannot stand in for the global record — local variability will be higher than the global, plus we have evidence that Antarctic temperatures swing in the opposite direction to Arctic changes.
3. The modern warming data far exceeds the peak temperatures once current data is included:
"Two things are immediately apparent. If we make allowance for local warming over the last 155 years, Easterbrook’s claim that 'most of the past 10,000 [years] have been warmer than the present' is not true for central Greenland, let alone the global record. It’s also clear that there is a mismatch between the temperature reconstructions and the ice core record. The two blue crosses on the chart show the GISP site temperatures (adjusted from GRIP data) for 1855 and 2009. It’s clear there is a calibration issue between the long term proxy (based on ∂18O measurement) and recent direct measurement of temperatures on the Greenland ice sheet. How that might be resolved is an interesting question, but not directly relevant to the point at issue — which is what Don Easterbrook is trying to show."

Confusing Greenland warming vs global warming
<p>This argument uses temperatures from the top of the Greenland ice sheet. This data ends in 1855, long before modern global warming began. It also reflects regional Greenland warming, not global warming.</p>
skepticalscience.com
This is the original source image:

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